List of Publications of Prof. M. Lakshmanan

  1. On the Apparent Visual Forms of Relativistically Moving Objects, P. M. Mathews and M. Lakshmanan, Nuovo Cimento 12 B, 168-181 (1972).
  2. Dynamics of a Nonlinear Field, P. M. Mathews and M. Lakshmanan, Ann. Phys. (N.Y.) 79, 171-185 (1973).
  3. The Energy Levels of an x 6 Anharmonic Oscillator, M. Lakshmanan and J. Prabhakaran, Lett. Nuovo Cimento 7, 689-693 (1973).
  4. The Doubly Anharmonic Oscillator, M. Lakshmanan, Lett. Nuovo Cimento 8, 743-748 (1973).
  5. On a Unique Nonlinear Oscillator, P. M. Mathews and M. Lakshmanan, Quart. Appl. Maths 32, 215-218 (1974).
  6. Nonlinear Chiral Dispersive Waves, M. Lakshmanan, J. Phys. 7 A, 889-897 (1974).
  7. A Quantum-Mechanically Solvable Nonpolynomial Lagrangian with Velocity- Dependent Interaction, P. M. Mathews and M. Lakshmanan, Nuovo Cimento A 26, 299-316 (1975).
  8. Dispersive φ 4 Wave Propagation, M. Lakshmanan, J. Phys. A 8, 788-799 (1975).
  9. Nonlinear Effects on the Synaptic Basis of Memory, M. Lakshmanan and P. K. Ponnuswamy, J. Theor. Biol. 53, 239-242 (1975).
  10. Quantum Dynamics of a Solvable Nonlinear Chiral Model, M. Lakshmanan and K. Eswaran, J. Phys. A 8, 1658-1669 (1975).
  11. Application of Coherent State Representation to Classical x 6 and Coupled Anharmonic Oscillators, R. Dutt and M. Lakshmanan, J. Math. Phys. 17, 482-484 (1976).
  12. On the Dynamics of a Continuum Spin System, M. Lakshmanan, Th. W. Ruijgrok and C. J. Thompson, Physica A 84, 577-590 (1976).
  13. Average Hydrodynamics Behaviour of a Nonlinear Pion-Pion Chiral Lagrangian, M. Lakshmanan, Acta Physica Hungarica 42, 152-158 (1977).
  14. Continuum Spin System as an Exactly Solvable Dynamical System, M. Lakshmanan, Phys. Lett. A 61, 53-54 (1977).
  15. Method of Action-Angle Variables and the Classical Dynamics of a Nonlinear Chiral Lagrangian, M. Lakshmanan and B. Venkataramanan, Int. J. Theor. Phys. 16, 649-657 (1977).
  16. Nonlinear Model for the Synaptic Basis of Neuronal Memory, P. K. Ponnuswamy and M. Lakshmanan, J. Theor. Biol. 68, 483-489 (1977).
  17. On the Geometrical Interpretation of Solitons, M. Lakshmanan, Phys. Lett. A 64, 354-356 (1978).
  18. Comment on the Fundamental Frequency of Vibration of a Beam on a Nonlinear Elastic Foundation, M. Lakshmanan, J. of Sound and Vibration 58, 455-458 (1978).
  19. Prolongation Structures and Connection Forms for the Lund-Regge System, M. Lakshmanan, Prog. Theor. Phys. 60, 88-91 (1978).
  20. On a Proposed Alternative to the KdV Equation, L. J. F. Broer and M.Lakshmanan, Phys. Lett. A 66, 173-174 (1978).
  21. Rigid Body Motions, Space Curves, Prolongation Structures, Fiber Bundles and Soltions, M. Lakshmanan, J. Math. Phys. 20, 1667-1672 (1979).
  22. On a Nonlinear Harmonic Oscillator, M. Lakshmanan, J. of Sound and Vibration 64, 458-461 (1979).
  23. On the Invariant Solutions of the KdV-Burgers' Equation, M. Lakshmanan and P. Kaliappan, Phys. Lett. A 71, 166-168 (1979).
  24. Kadomstev-Petviashvile and Two Dimensional Sine-Gordon Equations: Reduction to Painlevé transcedents, P. Kaliappan and M. Lakshmanan, J. Phys. A 12, L249-252 (1979).
  25. Comments on "Anharmonic Oscillator", P. O. Fröman, F. Karlsson and M. Lakshmanan, Phys. Rev. D 20, 3535-3536 (1979).
  26. Stationary, Spherically and Axially Symmetric Spin Waves in the Continuum Heisenberg Spin System, M. Lakshmanan, P. Kaliappan and M. Daniel, Phys. Lett. A 75, 97-98 (1979).
  27. On the Energy Levels of an Isotropic Anharmonic Oscillator, M. Lakshmanan and P. Kaliapan, J. Phys. A 13, L299-302 (1980).
  28. Point Singularities in Micromagnetic Systems with Radial Symmetry, M. Lakhsmanan, M. Daniel and P. Kaliappan, J. Phys. C 13, 4743-4749 (1980).
  29. Travelling Waves for a Model Nonlinear Reacti0n-Diffusion System, P. Kaliappan, M. Lakshmanan and P. K. Ponnuswamy, J. Phys. A 13, L227-229 (1980).
  30. Geometry of Generalized Nonlinear Schrödinger and Heisenberg Ferromagnetic Spin Equations with Linearly x-dependent, M. Lakshmanan and R. K. Bullough, Phys. Lett. A 80, 287-292 (1980)
  31. Similarity Solutions for the Ernst Equations with Electromagnetic Fields, P. Kaliappan and M. Lakshmanan, J. Math. Phys. 22, 2447- 2451 (1981).
  32. A Singular Perturbation Theory for the FitzHugh-Nagumo Nerve Conduction Equation, M. Lakshmanan and K. Rajagopal, Phys. Lett. A 82, 266-270 (1981).
  33. On the Evolution of Higher Dimensional Heisenberg Continuum Spin Systems, M. Lakshmanan and M. Daniel, Physica A 107, 533-552 (1981).
  34. Motion of Strings, Embedding Problem and Soliton Equations, M. Lakshmanan and K. M. Tamizhmani, App. Sci. Res. 37, 127-143 (1981).
  35. Phase-Integral Calculation of the Energy Levels of a Quantal Anharmonic Oscillator, M. Lakshmanan, F. Karlsson and P. O. Fröman, Phys. Rev. D 24, 2586-2598 (1981).
  36. Soliton Damping and Energy Loss in the Classical Continuum Heisenberg Spin Chain, M. Lakshmanan and M. Daniel, Phys. Rev. B 24, 6751-6754 (1982).
  37. Connection between the Infinite Sequence of Lie-Bäcklund Symmetries of KdV and Sine-Gordon Equations, P. Kaliappan and M. Lakshmanan, J. Math. Phys. 23, 456-459 (1982).
  38. Infinitely Many Lie-Bäcklund Symmetries for a Quasi-linear Evolution Equations, K.M. Tamizhmani and M. Lakshmanan, Phys.Lett. A 90, 159- 161 (1982).
  39. Solitary Front-like Wave Solutions of the Korteweg-de Vries Burgers' Equation, M. Lakshmanan and S. Ganesan, Zeit. f. Naturforsch a 37, 1211-1213 (1982).
  40. Lie Transformations, Nonlinear Evolution Equations and Painlevé Forms, M. Lakshmanan and P. Kaliappan, J. Math. Phys. 24, 795-806 (1983).
  41. Comment on the Poisson Brackets of Spin Systems, M. Lakshmanan and M. Daniel, J. Chem. Phys. 78, 7505-06 (1983).
  42. Perturbation of Solitons in the Classical Continuum Isotropic Heisenberg Spin System, M. Daniel and M. Lakshmanan, Physica A 120, 125-52 (1983).
  43. Complete Integrability of the Korteweg-de Vries Equation under Perturbation around its Solution: Lie-Bäcklund Symmetry Approach, K.M.Tamizhmani and M. Lakshmanan, J. Phys. A 16, 3773-82 (1983).
  44. The Existence of Infinitely many Lie-Bäcklund Symmetries for a New Derivative Nonlinear Schrödinger Equation, K. M. Tamizhmani and M. Lakshmanan, Phys. Lett. A 99, 10-14 (1983).
  45. Comment on “ Method for the Exact Solution of a Nonlinear Diffusion-Convection Equation", M. Lakshmanan and K.M. Tamizhmani, Phys. Rev. Lett. 51, 1497 (1983).
  46. Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities, M. Lakshmanan and S. Ganesan, J. Phys. Soc. of Japan, 52, 4031-33 (1983).
  47. Painlevé Property of Coupled Anharmonic Oscillators with N degrees of Freedom, M. Lakshmanan and R. Sahadevan, Phys. Lett. A 101, 189-94 (1984).
  48. On the Canonical Equivalence of the Kepler Problem in Coordinate and Momentum Spaces, M. Lakshmanan and H. Hasegawa, J. Phys. A 17 L889-93 (1984).
  49. Landau-Lifshitz Equation of Ferromagnetism: Exact Treatment of the Gilbert Damping, M. Lakshmanan and K. Nakamura, Phys. Rev. Lett. 53, 2497-99 (1984).
  50. Coupled Quartic Anharmonic Oscillators, Painlevé Analysis and Integrability, M. Lakshmanan and R. Sahadevan, Phys. Rev. A 31, 861-876 (1985).
  51. Towards a Satisfactory Formulation of Quantum Langevin Equation, H.Hasegawa, J.R. Klauder and M. Lakshmanan . J. Phys. A 18, L123-28 (1985).
  52. Lie-Bäcklund Symmetries of Certain Nonlinear Evolution Equations under Perturbation around Their Solutions, M. Lakshmanan and K.M. Tamizhmani, J. Math. Phys. 26, 1189-1200 (1985).
  53. Geometrical and Gauge Equivalence of the Generalized Hirota, Heisenberg and WKIS Equations with Linear Inhomogeneities, M. Lakshmanan and S. Ganesan, Physica A 132, 117-42 (1985).
  54. Chaotic Planar States of the Discrete Dynamical Anisotropic Heisenberg Spin Chain, C. J. Thompson, K. A. Ross, B. J. P. Thompson and M. Lakshmanan, Physica A 133, 330-36 (1985).
  55. Painlev'e Analysis and Integrability of Coupled Nonlinear Schrödinger Equations, R. Sahadevan, K. M. Tamizhmani and M. Lakshmanan, J. Phys. A 19, 1783-91 (1986).
  56. Complete Integrability and Coupled Quartic Anharmonic Oscillators, R. Sahadevan and M. Lakshmanan, Phys. Rev. A 33, 3563-66 (1986).
  57. Linearization and Painlevé property of Liouville and Cheng Equations, K. M. Tamizhmani and M. Lakshmanan, J. Math. Phys. 27, 2257-58 (1986).
  58. Effective g-Factor for Two Strongly Exchange-Coupled Magnetization Vectors, H. Hasegawa, M. Lakshmanan and Y. Okazaki, Prog. Theor. Phys. 75, 550-55 (1986).
  59. Complete Integrability in a Quantum Description of Chaotic Systems, K. Nakamura and M. Lakshmanan, Phys. Rev. Lett. 57, 1661-64 (1986).
  60. Invariance and Integrability: Henon-Heiles and Two Coupled Quartic Anharmonic Oscillator Systems, R. Sahadevan and M. Lakshmanan, J. Phys. A 19, L949-954 (1986).
  61. Explicit Solutions and Linearization of Certain Nonlinear Evolution Equations-Bilinear Transformation Method, N. Ravi, K. M. Tamizhmani and M. Lakshmanan, J. Phys. A 20, 3047-49 (1987).
  62. Geometrical Equivalence of a Deformed Heisenberg Spin Equation and the Generalized Nonlinear Schrödinger Equation, K. Porsezian, K.M. Tamizhmani and M. Lakshmanan, Phys. Lett. A 124 159-60 (1987).
  63. Singularity Structure Analysis and Hirota's Bilinearisation of the Davey-Stewartson Equation, S. Ganesan and M. Lakshmanan, J. Phys. A 20, L1143-47 (1987).
  64. Period Doubling Bifurcations, Period Doubling Route to Chaos for a BVP Oscillator with Periodic External Force, S. Rajasekar and M. Lakshmanan, J. Theor. Biol., 133, 473-477 (1988).
  65. Period Doubling Bifurcations, Chaos, Phase-locking and Devil's Staircase in a Bonhoeffer Van der Pol Oscillator, S. Rajasekar and M. Lakshmanan, Physica D 32, 146-52 (1988).
  66. Effect of Discreteness on the Continuum Limit of the Heisenberg Spin Chain, M. Lakshmanan, K. Porsezian and M. Daniel, Phys. Lett. A 133, 483-488 (1988).
  67. Comment on “Dynamical Symmetries of the Perturbed Hydrogen Atom: The van der Waals Interaction", K. Ganesan and M. Lakshmanan, Phys. Rev. Lett. 62, 232 (1989).
  68. Discretized Hirota Equation, Equivalent Spin Chain and Bäcklund Transformations, K. Porsezian and M. Lakshmanan, Inverse Problems 5, L15-19 (1989).
  69. On the Higher Order Deformed Heisenberg Spin Equation as an Exactly Solvable Dynamical System, M. Lakshmanan, J. Phys. A 22, 4735-36 (1989).
  70. On the Exact Solution of the Duffing Oscillator, S. Parthasarathy and M. Lakshmanan, J. Sound & Vibrations 137, 523-526 (1990).
  71. Planar Radially Symmetric Spin System and Generalized Nonlinear Schrödinger Equation: Gauge Equivalence, Bäcklund Transformations and Explicit Solutions, M. Lakshmanan and K. Porsezian, Phys. Lett. A 146, 305-309 (1990).
  72. Bifurcation and Chaotic Motion of a Soliton in a Long Josephson Junction Oscillator, S. Rajasekar and M. Lakshmanan, Physica A 167, 793-809 (1990).
  73. Multiple Attractors and Their Basins of Attraction in a Long Josephson Oscillator, S. Rajasekar and M. Lakshmanan, Phys. Lett. A 147, 264-268 (1990).
  74. Dynamics of Atomic Hydrogen in a Generalized van der Waals Potential, K. Ganesan and M. Lakshmanan, Phys. Rev. A 42, 3940-3947 (1990).
  75. Observation of Many Bifurcation Sequences in a Driven Piecewise Linear Circuit, K. Murali and M. Lakshmanan, Phys. Lett. A 151, 412-419 (1990).
  76. On the Analytic Structure of the Driven Pendulum, S. Parthasarathy and M. Lakshmanan, J. Phys. A 23, L1223-1228 (1990).
  77. Generalized Lie Symmetries and Integrability of Certain Nonlinear Hamiltonian Systems with Three Degrees of Freedom, M. Lakshmanan and R. Sahadevan, J. Math. Phys. 32, 75-83 (1991).
  78. Bifurcation and Chaos of the Sinusoidally Driven Chua's Circuit, K. Murali and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 1, 369-384 (1991).
  79. On the Dynamics of the Radially Symmetric Heisenberg Spin Chain, K. Porsezian and M. Lakshmanan, J. Math. Phys. 32, 2923-2928 (1991)
  80. Analytic Structure of the Damped Driven Morse Oscillator, S. Parthasarathy and M. Lakshmanan, Phys. Lett. A 157, 365-370 (1991).
  81. Singularity Structure Analysis of the Continuum Heisenberg Spin Chain with Anisotropy and Transverse Field: Nonintegrability and Chaos, M. Daniel, M. D. Kruskal, M. Lakshmanan and K. Nakamura, J. Math. Phys. 33, 771-776 (1992).
  82. The effect of Sinusoidal Excitation on the Chua's Circuit, K. Murali and M. Lakshmanan, IEEE Transactions Circuits and Systems I: Fundamental Theory and Applications, 39, 264-270 (1992).
  83. Direct Integration of Generalized Lie Symmetries of Nonlinear Hamiltonian Systems with Two Degrees of Freedom: Integrability and Separability, M. Lakshmanan and M. Senthilvelan, J. Phys. A 25, 1259-1272 (1992).
  84. Semiclassical Quantization of the Hydrogen atom in a Generalized van der Waals Potential, K. Ganesan and M. Lakshmanan, Phys. Rev. A 45 , 1548-1555 (1992).
  85. Controlling of Chaos in Bonhoeffer-van der Pol Oscillator, S. Rajasekar and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 2, 201-204, (1992).
  86. Integrability Aspects of the One Dimensional Classical Continuum Isotropic Biquadratic Heisenberg Spin Chain, K. Porsezian, M. Daniel and M. Lakshmanan, J. Math. Phys. 33, 1807-1816 (1992).
  87. Transition from Quasiperiodicity to Chaos and Devil's Staircase Structures of the Driven Chua's Circuit, K. Murali and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 2, 621-632 (1992).
  88. Prediction of Horseshoe Chaos in BVP and DVP Oscillators, S. Rajasekar, S. Parthasarathy and M. Lakshmanan, Chaos, Solitons & Fractals 2, 271-280 (1992).
  89. Direct Integration of Generalized Lie or Dynamical Symmetries of Three Degrees of Freedom Nonlinear Hamiltonian Systems: Integrability and Separability, M. Lakshmanan and M. Senthilvelan, J. Math. Phys. 33, 4068-4077 (1992).
  90. Field-Theoretical Model Inspired by Adiabatic Ansatz Eigenvalue Problems, K. Nakamura, M. Lakshmanan, P. Gaspard and S. A. Rice, Phys. Rev. A 46, 6311-6314 (1992).
  91. Controlling of Chaos in the Driven Chua's Circuit, K. Murali and M. Lakshmanan, J. Circuits, Systems & Computers 3, 125-137 (1993).
  92. Algorithms for Controlling Periodic and Chaotic Motions: Application to BVP Oscillator, S. Rajasekar and M. Lakshmanan, Physica D 67, 282-300 (1993).
  93. Synchronizing Chaos in Driven Chua's Circuit, K. Murali and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 3, 1057-1069 (1993)
  94. On the Integrable Models of the Higher Order Wave Equation, M. Daniel, K. Porsezian and M. Lakshmanan, Phys. Lett. A 174, 237-240 (1993).
  95. Quantum Chaos of the Hydrogen Atom in a Generalized van der Waals Potential, K. Ganesan and M. Lakshmanan, Phys. Rev. A 48, 964-976 (1993).
  96. Transmission of Signals by Synchronization in a Chaotic van der Pol- Duffing Oscillator, K. Murali and M. Lakshmanan, Phys. Rev. E 48, R1624-1626 (1993) Rapid Communication.
  97. Chaotic Dynamics of the Driven Chua's Circuit, K. Murali and M. Lakshmanan, IEEE Transaction on Cirucits and Systems, I 40, 836-841 (1993).
  98. On the Nonintegrability of the Duffing-van der Pol Oscillator, T. C. Bountis, L. B. Drossos, M. Lakshmanan and S. Parthasarathy, J. Phys. A 26, 6927-6942 (1993).
  99. Classical, Semiclassical and Quantum Chaos Aspects of Hydrogen Atom in a Generalized van der Waals Potential, M. Lakshmanan and K. Ganesan, J. Phys. Soc. Japan (Suppl) 63, 47-61 (1994).
  100. Bifurcations, Chaos and Suppression of Chaos in FitzHugh-Nagumo Nerve Conduction Model Equation, S. Rajasekar and M. Lakshmanan, J. Theor. Biol. 166, 275-288 (1994).
  101. Multisoliton Generation in Inhomogeneous Nonlinear Schrödinger and Heisenberg Spin Systems, R. Radha and M. Lakshmanan, Chaos, Solitons & Fractals 4, 181-189 (1994).
  102. Phase-Integral Approach to Quantal Two-and Three-dimensional Isotropic Anharmonic Oscillators, M. Lakshmanan, P. Kaliappan, K. Larson, F. Karlsson and P. O. Fröman, Phys. Rev. A 49, 3296-3309 (1994).
  103. The Simplest Dissipative Nonautonomous Chaotic Circuit, K. Murali, M. Lakshmanan and L. O. Chua, IEEE Transactions on Circuits & System I 41, 462-463 (1994) Express Letter.
  104. Drive-response Scenerio of Chaos Synchronization in Identical Nonlinear Systems, K. Murali and M. Lakshmanan, Phys. Rev. E 49, 4882-4885 (1994).
  105. Applicability of Brody Distribution for the Study of Quantum Chaos of the Hydrogen Atom in a Generalized van der Waals Potential, K. Ganesan and M. Lakshmanan, J. Phys. B 27, 1-12, (1994).
  106. Singularity Structure Analysis and Bilinear Form of a (2+1) Dimensional NLS Equation, R. Radha and M. Lakshmanan, Inv. Prob. 10, L29-L33 (1994).
  107. Singularity Analysis and Localized Coherent Structures in (2+1) Dimensional Generalized KdV Equation, R. Radha and M. Lakshmanan, J. Math. Phys. 35, 4746-4756 (1994).
  108. Bifurcation and Chaos of the Simplest Dissipative Nonautonomous Circuit, K. Murali, M. Lakshmanan and L. O. Chua, Int. J. Bifur. Chaos: Appl. Sci. Eng. , 4 1511-1524 (1994).
  109. On the Integrability of the Inhomogeneous Spherically Symmetric Heisenberg Ferromagnet in Arbitrary Dimensions, M. Daniel, K. Porsezian and M. Lakshmanan, J. Math. Phys. 35, 6498-6510, (1994).
  110. Controlling and Synchronization of Chaos in the Simplest Dissipative Nonautonomous Circuit, K. Murali, M. Lakshmanan, and L.O. Chua, Int. J. Bifur. Chaos: Appl. Sci. Eng. 5, 563-571 (1995).
  111. Dromion like Strucutres in the (2+1) Dimensional Breaking Soliton Equation, R. Radha and M. Lakshmanan, Phys. Lett. A 197, 7-12 (1995).
  112. Experimental Chaos from Nonautonomous Electronic Circuits, M. Lakshmanan and K. Murali, Phil. Trans. Roy. Soc. London - Transaction-A 353, 33-46 (1995).
  113. Lie Symmetries and Infinite Dimensional Lie Algebras of Certain Nonlinear Dissipative Systems, M. Senthilvelan and M. Lakshmanan, J. Phys. A 28, 1929-1942 (1995).
  114. Bright and Dark Soliton Solutions to Coupled Nonlinear Schrödinger Equations, R. Radhakrishnan and M. Lakshmanan, J. Phys. A 28, 2683-2692 (1995).
  115. Integrability and Singularity Structure of Coupled Nonlinear Schrödinger Equations, R. Radhakrishnan, R. Sahadevan and M. Lakshmanan, Chaos, Solitons & Fractals 5, 2315-2327 (1995).
  116. Bright and Dark Optical Solitons in Coupled Higher Order Nonlinear Schrödinger Equations through Singularity Structure Analysis, R. Radhakrishnan, M. Lakshmanan, M. Daniel, J. Phys. A 28, 7299-7314 (1995).
  117. On the Integrability and Singularity Structure Aspects of deformed Nonlinear Evolution Equations of AKNS Type, R. Radha and M. Lakshmanan, J. Phys. A 28, 6977-6987 (1995).
  118. Lie Symmetries and Invariant Solutions of the Shallow Water Equation, M. Senthilvelan and M. Lakshmanan, Int. J. Nonlinear Mechanics 31, 339-344 (1996).
  119. Lie Symmetries, Infinite Dimensional Lie Algebras and Similarity Reductions of Certain (2+1) Dimensional Nonlinear Evolution Equations, M. Lakshmanan and M. Senthilvelan, J. Nonlinear Math. Phys. 3, 24-39 (1996).
  120. The (2+1) Dimensional Sine-Gordon Equation: Integrability and Localized Solutions, R. Radha and M. Lakshmanan, J. Phys. A 29, 1551-1562 (1996).
  121. Reply to the Comment by M. A. Almeida et al, M. Senthilvelan and M. Lakshmanan, J. Phys. A 29, 1143 (1996).
  122. Exact Soliton Solutions to Coupled Nonlinear Schrödinger Equations with Higher Order Effects, R. Radhakrishnan and M. Lakshmanan, Phys. Rev. E 54, 2949-2955 (1996).
  123. Bispectral Properties of the Simplest Dissipative Non-autonomous Chaotic Circuit, J. M. Lipton, K. P. Dabke and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 6, 2419-2425 (1996).
  124. Localized Coherent Structures and Integrability in a Generalized (2+1) Dimensional NLS Equation, R. Radha and M. Lakshmanan, Chaos, Solitons & Fractals 8, 17-25 (1997).
  125. Exotic Coherent Structures in the (2+1) Dimensional Long Dispersive Wave (2LDW) Equation, R. Radha and M. Lakshmanan, J. Math. Phys. 38, 292-299 (1997).
  126. Localized Coherent Structures of (2+1) Dimensional Generalizations of Soliton Systems, M. Lakshmanan and R. Radha, Pramana Special Issue on Nonlinearity and Chaos in Physical Systems, 48, 163-188 (1997).
  127. Synchronization through Compound Chaotic Signal in Chua's Circuit and Murali-Lakshmanan-Chua Circuit, K. Murali and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 7, 415-421 (1997).
  128. Controll of Chaos by Nonfeedback Methods in a Simple Electronic Circuit System and FitzHugh-Nagumo Equation, S. Rajasekar, K. Murali and M. Lakshmanan, Chaos, Solitons & Fractals 8, 1545-1558 (1997).
  129. A New Class of Induced Localized Coherent Structures in the (2+1) Dimensional Nonlinear Schrödinger Equation, R. Radha and M. Lakshmanan, J. Phys. A 30, 3229-3233 (1997).
  130. Nonlinear Dynamics of Damped and Driven Velocity-dependent Systems, A. Venkatesan and M. Lakshmanan, Phys. Rev. E 55, 5134-5146 (1997).
  131. Lie Symmetries and Infinite Dimensional Lie Algebras of Certain (1+1) Dimensional Nonlinear Evolution Equations, M. Senthilvelan and M. Lakshmanan, J. Phys. A 30, 3261-3271 (1997).
  132. Invariance Analysis of the (2+1) Dimensional Long Dispersive Wave Equation, M. Senthilvelan and M. Lakshmanan, J. Nonlinear. Math. Phys. 4, 251-260 (1997).
  133. Efficient Signal Transmission by Synchronization through Compound Chaotic Signal, K. Murali and M. Lakshmanan, Phys. Rev. E 56, 251-255 (1997).
  134. Bifurcation Analysis of the travelling wave form of FitzHugh-Nagumo Nerve Conduction Model Equation, P. Muruganandam and M. Lakshmanan, Chaos 7, 476-487 (1997).
  135. Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers, R. Radhakrishnan, M. Lakshmanan and J. Hietarinta, Phys. Rev. E 56, 2213-2216 (1997).
  136. A (2+1) Dimensional Integrable Spin Model: Geometrical and Gauge Equivalent Counterpart, Solitons and Localized Coherent Structures, R. Myrzakulov, S. Vijayalakshmi, G. N. Nugmanova and M. Lakshmanan, Phys. Lett. A 233, 391-396 (1997).
  137. Bifurcation and Chaos in the Double well Duffing van der Pol Oscillator: Numerical and Analytical Studies, A. Venkatesan and M. Lakshmanan, Phys. Rev. E 56, 6321-6330 (1997).
  138. On the Simplest (2+1) Dimensional Integrable Spin Systems and their Equivalent Nonlinear Schrödinger Equations, R. Myrzakulov, S. Vijayalakshmi, R. N. Syzdykova and M. Lakshmanan, J. Math. Phys. 39, 2122-2140 (1998).
  139. Motion of Curves and Surfaces and Nonlinear Evolution Equations in (2+1) Dimensions, M. Lakshmanan, R. Myrzakulov, S. Vijayalakshmi and A. K. Danlybaeva, J. Math. Phys. 39, 3765-3771 (1998).
  140. Lie Symmetries Kac-Moody-Virasoro Algebras and Integrability of Certain (2+1) Dimensional Nonlinear Evolution Equations, M. Senthilvelan and M. Lakshmanan, J. Nonlinear. Math. Phys. 5, 190-211 (1998).
  141. Secure Communication using a Compound Signal from Generalized Synchronizable Chaotic Systems, K. Murali and M. Lakshmanan, Phys. Lett. A 241, 303-310 (1998).
  142. Different Routes to Chaos via Strange Nonchaotic Attractors in a Quasiperiodically Forced System, A. Venkatesan and M. Lakshmanan, Phys. Rev. E 58, 3008-3016 (1998).
  143. Bifurcation and Controlling of Chaotic Delayed Cellular Neural Networks, P. Thangavel, K. Murali and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 8, 2481-2492 (1998).
  144. Generalized Dromions in the (2+1) Dimensional Long Dispersive Wave (2LDW) and Scalar Nonlinear Schrödinger (NLS) Equations, R. Radha and M. Lakshmanan, Chaos, Solitons & Fractals 10, 1821-1824 (1999).
  145. Explode-Decay Dromions in the Non isospectral Davey-Stewartson I (DSI) Equation, R.Radha, S.Vijayalakshmi and M. Lakshmanan, J. Nonlinear. Math. Phys. 6, 120-126 (1999).
  146. Suppression and Enhancement of Soliton Switching During Interaction in Periodically Twisted Birefringent Fibers, R. Radhakrishnan and M. Lakshmanan, Phys. Rev. E 60, 2317-2321 (1999).
  147. Spatio-temporal Dynamics of Coupled Array of Murali-Lakshmanan-Chua Circuits, P. Muruganandam, K. Murali and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 9, 805-830 (1999).
  148. Comment on "Intermittent Synchronization in a pair of Coupled Chaotic Pendula" P. Muruganandam, S. Parthasarathy and M. Lakshmanan, Phys. Rev. Lett. 83, 1259 (1999).
  149. Birth of Strange Nonchaotic Attractors Through Type III Intermittency, A. Venkatesan, K. Murali and M. Lakshmanan, Phys. Lett. A 259, 246-253 (1999).
  150. Coupled Nonlinear Schrödinger Equations with Cubic-Quintic Nonlinearity: Integrability and Soliton and Interaction in Non-Kerr Media R. Radhakrishnan, A. Kundu and M. Lakshmanan, Phys. Rev. E 60, 3314-3323 (1999).
  151. Intermittency Transitions to Strange Nonchaotic Attractors in a Quasiperiodically Driven Duffing Oscillator, A. Venkatesan, M. Lakshmanan, A. Prasad, and R. Ramaswamy, Phys. Rev. E 61, 3641-3651 (2000).
  152. Rich Variety of Bifurcations and Chaos in a variant of Murali-Lakshman-Chua Circuit, K. Thamilmaran, M. Lakshmanan and K. Murali, Int. J. Bifur. Chaos: Appl. Sci. Eng. 10, 1781-1785 (2000).
  153. Shape Changing Collisions of Coupled Bright Solitons in Birefringent Optical Fibers, M. Lakshmanan, T. Kanna and R. Radhakrishnan, Rep. Math. Phys. 46, 143-156 (2000).
  154. Secure Digital Signal Transmission by Multistep Parameter Modulation and Alternative Driving of Transmitter Variables, P. Palaniyandi and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 11, 2031-2036 (2001).
  155. Interruption of Torus Doubling Bifurcation and genesis of strange nonchaotic attractors in a Quasiperiodically Forced Map: Mechanisms and their Characterisations, A. Venkatesan and M. Lakshmanan, Phys. Rev. E 63 026219, (14 pp) (2001).
  156. Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schrödinger equations, T. Kanna and M. Lakshmanan, Phys. Rev. Lett. 86, 5043-46 (2001).
  157. Quantal Two-center Coulomb Problem Treated by means of the Phase Integral Method. I. General Theory, N. Athavan, P. O. Fröman and N. Fröman, M. Lakshmanan, J. Math. Phys. 42, 5051-76 (2001).
  158. Quantal Two-center Coulomb Problem Treated by means of the Phase Integral Method. II. Quantization Conditions in the Symmetric Case Expressed in terms of Complete Elliptic Integrals, Numerical illustration, N. Athavan, M. Lakshmanan and N. Fröman, J. Math. Phys. 42, 5077-95 (2001).
  159. Quantal Two-center Coulomb Problem Treated by means of the Phase Integral Method. III. Quantization Conditions in the General Case Expressed in terms of Complete Elliptic Integrals, Numerical illustration, N. Athavan, M. Lakshmanan and N. Fröman, J. Math. Phys. 42, 5096-5115 (2001).
  160. Shape Changing Collisions of Optical Solitons, Universal Logic Gates and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations, M. Lakshmanan and T.Kanna, Special issue on 'Optical Solitons' Pramana 57, 885-916 (2001).
  161. Singularity Structure, Symmetries and Integrability of Generalized Fisher Type Nonlinear Difusion Equation, P.S. Bindu, M. Senthilvelan and M. Lakshmanan, J. Phys. A 34, L689-L696 (2001).
  162. Effect of Phase Shift in Shape Changing Collision of Solitons in Coupled Nonlinear Schrödinger Equations, T. Kanna and M. Lakshmanan, Eur. Phys. J. B. 29, 249-254 (2002).
  163. Classification of Bifurcations and Routes to Chaos in a Variant of Murali-Lakshmanan-Chua Circuit, K. Thamilmaran and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 12, 783-813 (2002).
  164. Exact Soliton Solutions of Coupled Nonlinear Schr o ¨ dinger Equations: Shape Changing Collisions, Logic Gates and Partially Coherent Solitons, T. Kanna and M. Lakshmanan, Phys. Rev. E 67, 046617 (25 pp) (2003).
  165. Occurrence of Multiple-Period-Doubling Bifurcation Route to Chaos in Periodically Pulsed Chaotic Dynamical Systems, A. Venkatesan, S. Parthasarathy and M. Lakshmanan, Chaos, Solitons & Fractals 18, 891-98 (2003).
  166. Comment on “Linear Superposition in Nonlinear equations”, M. Jaworski and M. Lakshmanan, Phys. Rev. Lett. 90, 239401 (2003).
  167. Analytical Calculation of Nonadiabatic Transition Probabilities from the Monodromy of Differential Equations, T. Kato, K. Nakamura and M. Lakshmanan, J. Phys. A 36, 5803-15 (2003).
  168. HyperChaos in a Modified Canonical Chua's Circuit, K. Thamilmaran, M. Lakshmanan and A. Venkatesan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 14, 221-43 (2004).
  169. New Aspects of Integrability of Force-free Duffing-van der Pol Oscillator and Related Nonlinear Systems, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Phys. A 37, 4527-34 (2004).
  170. Exponentially Localized Solutions of Mel'nikov Equation, C. Senthil Kumar, R. Radha and M. Lakshmanan, Chaos, Solitons & Fractals 22, 705-12 (2004).
  171. Comment on “Determination of Limit Cycles for Strongly Nonlinear Oscillators", S. Rajendran, S. N. Pandey and M. Lakshmanan, Phys. Rev. Lett. 93, 069401 (2004).
  172. On the Integrability, B a ¨ cklund Transformation and Symmetry Aspects of a Generalized Fisher-type Nonlinear Reaction-diffusion Equation, P. S. Bindu, M. Lakshmanan and M. Senthilvelan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 14, 1577-1600 (2004).
  173. Extended Prelle-Singer Method and Integrability/Solvability of a Class of Nonlinear nth order Ordinary Differential Equations, V. K. Chandrasekar, M. Senthil velan and M. Lakshmanan, J. Nonlinear. Math. Phys. 12, 184-201 (2005).
  174. Transition from Anticipatory to Lag Synchronization via Complete Synchronization in Time-Delay Systems, D. V. Senthil Kumar and M. Lakshmanan, Phys. Rev. E 71, 016211-10 (2005).
  175. Nonlinear Dynamics: Challenges and Perspectives, M. Lakshmanan, Pramana – J. Phys. 64, 617-632 (2005).
  176. Nonlinear Dynamics of Moving Curves and Surfaces: Applications to Physical Systems, S. Murugesh and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 15, 51-63 (2005).
  177. Strong Chaos in a Forced Negative Conductance Series LCR Circuit, K. Thamilmaran, D. V. Senthil Kumar, M. Lakshmanan and A. Ishaq Ahamed, Int. J. Bifur. Chaos: Appl. Sci. Eng. 15, 637-51 (2005).
  178. Estimation of System Parameters and Predicting the Flow Function from Time Series of continuous Dynamical Systems, P. Palaniyandi and M. Lakshmanan, Phys. Lett. A 338, 253-260 (2005).
  179. Equatorial and related non-equilibrium states in magnetization dynamics of ferromagnets: Generalization of Suhl's spin-wave instabilities, C. Kosaka, K. Nakamura, S. Murugesh and M. Lakshmanan, Physica D 203, 233-48 (2005).
  180. On the Complete Integrability and Linearization of certain Second Order Nonlinear Ordinary Differential Equations, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Proc. R. Soc. London A 461, 2451-76 (2005).
  181. Application of Extended Prelle-Singer Procedure to the generalized Modified Emden type Equation, V. K. Chandrasekar, S. N. Pandey, M. Senthilvelan and M. Lakshmanan, Chaos, Solitons & Fractals 26, 1399-1406 (2005).
  182. Estimation of System Parameters in Discrete Dynamical Systems from Time Series, P. Palaniyandi and M. Lakshmanan, Phys. Lett. A 342, 134-39 (2005).
  183. Existence of Anticipatory, Complete and Lag Synchronizations in Time-delay Systems, D. V. Senthilkumar and M. Lakshmanan, Journal of Physics: Conference Series, 23 300-308 (2005).
  184. Desynchronized Wave Patterns in Synchronized Chaotic Region of Coupled Map Lattices, P. Palaniyandi, P. Muruganandam and M. Lakshmanan, Phys. Rev. E 72, 037205 (4 pp) (2005).
  185. Periodic and Localized solutions of the Long wave-Short Wave Resonance Interaction Equation, R. Radha, C. Senthil Kumar, M. Lakshmanan, X. Y. Tang and S. Y. Lou, J. Phys. A 38, 9649-9663 (2005).
  186. Bifurcations and Chaos in Time Delayed Piecewise Linear Dynamical Systems, D. V. Senthilkumar and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 15, 2895-2912 (2005).
  187. Unusual Lienard type Nonlinear Oscillator, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Phys. Rev. E 72, 066203-08(2005).
  188. A unification in the theory of linearization of second order nonlinear ordinary differential equations, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Phys. A 39, L69-76 (2006).
  189. Soliton Collisions with Shape Change by Intensity Redistribution in Mixed Coupled Nonlinear Schrödinger equations, T. Kanna, M. Lakshmanan, P. Tchofo Dinda and Nail Akhmediev, Phys. Rev. E 73, 026604 (15 pp)(2006)
  190. A Simple and Unified Approach to Identify Integrable Nonlinear Oscillators and Systems, V. K. Chandrasekar, S. N. Pandey, M. Senthilvelan and M. Lakshmanan, J. Math. Phys. 47, 023508 (37 pp) (2006).
  191. On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations - Part II: Third Order Equations, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Proc. R. Soc. London A 762, 1831-52 (2006).
  192. Nonintegrability of (2+1)-dimensional Continuum Isotropic Heisenberg Spin System: Painlevé Analysis, C. Senthil Kumar, M. Lakshmanan, B. Grammaticos and A. Ramani, Phys. Lett. A 356, 339-45 (2006).
  193. A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators, V. K. Chandrasekar, M. Senthilvelan , A. Kundu and M. Lakshmanan, J. Phys. A 39, 9743-9754 (2006).
  194. Phase Synchronization in Time-delay Systems, D. V. Senthil Kumar, M. Lakshmanan and J. Kurths, Phys. Rev. E 74, 035205 (R) (4 pp) (2006).
  195. Experimental Realization of Strange Nonchaotic Attractors in a Quasiperiodically Forced Electronic Circuit, K. Thamilmaran, D. V. Senthil Kumar, A. Venkatesan and M. Lakshmanan, Phys. Rev. E 74, 036205(11 pp) (2006).
  196. Localized Coherent Structures of Ishimori Equation I through Hirota's Bilinearization method: Time dependent/Stationary boundaries, S. Vijayalakshmi and M. Lakshmanan, Chaos, Solitons & Fractals 33, 203-216 (2007).
  197. Delay Time Modulation Induced Oscillating Synchronization and Intermittent Anticipatory/lag and Complete Synchronizations in Time-Delay Nonlinear Dynamical Systems, D. V. Senthilkumar and M. Lakshmanan, Chaos 17, 013112 (11 pp) (2007).
  198. Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies, S. Rajendran, P. Muruganandam and M. Lakshmanan, Physica D 227, (7 pp) (2007).
  199. Dynamical Echo in Two-state quantum Systems, R. Sankaranarayanan, Jane H. Sheeba and M. Lakshmanan, Chaos, Solitons & Fractals 33, 1618-24 (2007).
  200. On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan,J. Math. Phys. 48, 032701 (12 pp) (2007).
  201. On the general solution for the modified Emden type equation x ¨ + α x x ˙ + β x 3 =0 , V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Phys. A 40, 4717-27 (2007).
  202. Controlled Parameter Modulations in Secure Digital Signal Transmissions, P. Palaniyandi and M. Lakshmanan, Int. J. Bifur. Chaos: Appl. Sci. Eng. 17, 4187-4194 (2007).
  203. Intermittency transition to generalized synchronization in coupled time-delay systems, D. V. Senthilkumar and M. Lakshmanan, Phys. Rev. E 76, 066210 (13 pp) (2007).
  204. Periodic energy switching of bright solitons in mixed coupled nonlinear Schrödinger equations with linear self-coupling and cross-coupling terms , T. Kanna, M. Vijayajayanthi and M. Lakshmanan, Phys. Rev. A 76, 013808 (7 pp) (2007).
  205. Reply to `Comment on “On the general solution for the modified Emden-type equation x ¨ + α x x ˙ + β x 3 =0 "', V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Phys. A 41, 068002 (4 pp) (2008).
  206. Bright-dark solitons and their collisions in mixed N-Coupled Nonlinear Schrödinger equations, M. Vijayajayanthi, T. Kanna and M. Lakshmanan, Phys. Rev. A 77, 013820(18 pp) (2008).
  207. Coexistence of synchronized and desynchronized patterns in coupled chaotic dynamical systems, P. Palaniyandi, P. Muruganandam and M. Lakshmanan, Chaos, Solitons & Fractals 36, 991-1018 (2008).
  208. Transition from phase to generalized synchronization in time-delay systems, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Chaos 18, 023118 (12 pp) (2008).
  209. Dynamic and static excitations of a classical discrete anisotropic Heisenberg Ferromagnetic spin chain, M. Lakshmanan and Avadh Saxena, Physica D 237, 885-897 (2008).
  210. Phase synchronization in unidirectionally coupled Ikeda time-delay systems, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Eur. Phys. J. Special Topics, 164, 35-44 (2008).
  211. Bubbling route to strange nonchaotic attractor in a nonlinear series LCR circuit with a nonsinusoidal force, D. V. Senthilkumar, K. Srinivasan, K. Thamilmaran and M. Lakshmanan, Phys. Rev. E 78, 066211 (10 pp) (2008).
  212. Spin-transfer torque induced reversal in magnetic domains, S. Murugesh and M. Lakshmanan, Chaos, Solitons & Fractals, 41, 2773-2781 (2009).
  213. Trilinearization and Localized Coherent structures and Periodic Solutions for the (2+1) dimensional K-dV and NNV equations, C. Senthil Kumar, R. Radha and M. Lakshmanan, Chaos, Solitons & Fractals 39, 942-955 (2009).
  214. On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations - Part III: Coupled First Order Equations, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Proc. R. Soc. London A 465, 585 -608 (2009).
  215. On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations - Part IV: Coupled Second Order Equations, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Proc. R. Soc. London A 465, 609-629 (2009).
  216. The Collision of Multimode Dromions and a Firewall in the two component Long Wave Short Wave Resonance Interaction Equation, R. Radha, C. Senthil Kumar, M. Lakshmanan and G. R. Gilson, J. Phys. A. (Fast Track Communication), 42, 102002 (11 pp) (2009).
  217. Higher dimensional bright solitons and their collisions in multicomponent long wave-short wave system, T. Kanna, M. Vijayajayanthi, K. Sakkaravarthi and M. Lakshmanan, J. Phys. A Math. Theor. 42, 115103 (20 pp) (2009) .
  218. Dynamics of a Completely Integrable N -Coupled Liénard Type Nonlinear Oscillator, R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Phys. A Math. Theor. 42, 135206 (16 pp) (2009).
  219. On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations - Part V: Linearization of Coupled Second Order Equations, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Proc. R. Soc. London A 465, 2369-2389 (2009).
  220. Multisoliton solutions and energy sharing collisions in coupled nonlinear Schrö- dinger equations with focusing, defocusing and mixed type nonlinearities , M. Vijayajayanthi, T. Kanna and M. Lakshmanan, Eur. Phys. J. Special Topics 173, 57-80, (2009).
  221. Nonstandard conserved Hamiltonian structures in dissipative/damped systems : Nonlinear generalizations of damped harmonic oscillator, R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Math. Phys. 50, 052901 (15 pp) (2009).
  222. Inverse synchronizations in coupled time-delay systems with inhibitory coupling, D. V. Senthilkumar, J. Kurths and M. Lakshmanan, Chaos 19 023107, (9 pp) (2009).
  223. Globally clustered chimera states in delay coupled populations, Jane H. Sheeba, V. K. Chandrasekar and M. Lakshmanan, Phys. Rev. E 79, 055203 (4 pp) (R) (2009).
  224. Interaction of dark-bright solitons in two-component Bose-Einstein condensates, S. Rajendran, P. Muruganandam and M. Lakshmanan, J. Phys. B 42, 145307- (5 pp) (2009).
  225. Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory, D.V. Senthilkumar, J. Kurths and M. Lakshmanan, Phys. Rev. E 79, 066208 (4 pp) (2009).
  226. A Group Theoretical Identification of Integrable Cases of the Liénard Type Equation x ¨ +f⁡(x) x ˙ +g⁡(x)=0 : Part I: Equations having Non-maximal Number of Lie point Symmetries, S. N. Pandey, P. S. Bindu, M. Senthilvelan and M. Lakshmanan, J. Math. Phys. 50, 082702 (19 pp) (2009).
  227. Experimental Realization of strange nonchaotic attractors in a nonlinear series LCR circucit with nonsinusoidal force, K. Srinivasan, D. V. Senthilkumar, R. Suresh, K. Thamilmaran and M. Lakshmanan, Int. J. Bifur. Chaos. 19, 4131-4163 (2009).
  228. Event-related desynchronization in diffusively coupled oscillator models, Jane H. Sheeba, V. K. Chandrasekar and M. Lakshmanan, Phys. Rev. Lett. 103, 074101 (4 pp) (2009).
  229. A Group Theoretical Identification of integrable Equations in the Liénard Type Equation x ¨ +f⁡(x) x ˙ +g⁡(x)=0 : Part II: Equations having Maximal Lie Point Symmetries, S. N. Pandey, P. S. Bindu, M. Senthilvelan and M. Lakshmanan, J. Math. Phys. 50, 102701 (25 pp)(2009).
  230. Bifurcation and chaos in spin-valve pillars in a periodic applied magnetic field, S. Murugesh and M. Lakshmanan, Chaos 19, 043111 (7 pp) (2009).
  231. Painlevé Singularity Struture Analysis of Three Component Gross-Pitaevskii Type Equations, T. Kanna, K. Sakkaravarthi, C. Senthil Kumar, M. Lakshmanan and M. Wadati, J. Math. Phys. 50, 113520 (11 pp) (2009).
  232. Bifurcations and Chaos in Certain Piecewise Linear Differential Equations, M. Lakshmanan, Dynamics of Continuous, Discrete and Impulsive Systems, 16, 891-911 (2009).
  233. Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D-Gross-Pitaevskii equation with time-dependent parameters, S. Rajendran, P. Muruganandam and M. Lakshmanan, Physica D 239, 366-386 (2010).
  234. On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka - Volterra system, R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Math. Phys. 51, 033519 (23 pp) (2010).
  235. Chimera and globally clustered chimera: The impact of time delay, Jane H. Sheeba, V. K. Chandrasekar and M. Lakshmanan, Phys. Rev. E 81, 046203 (10 pp) (2010).
  236. Recursive Generation of Isochronous Hamiltonian Systems, V. K. Chandrasekar, A. Durga Devi and M. Lakshmanan, J. Nonl. Math. Phys. 17, 251-256 (2010).
  237. Global phase synchronization in an array of time-delay systems, R. Suresh, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Phys. Rev. E 82, 016215 (10 pp) (2010).
  238. Scaling and synchronization in a ring of diffusively coupled nonlinear oscillators, D. V. Senthilkumar, P. Muruganandam, M. Lakshmanan and J. Kurths, Phys. Rev. E, 81, 066219, (1-10) (2010).
  239. Motion of Space Curves in Three Dimensional Minkowski space R 1 3 , SO(2,1) Spin Equation and Defocusing Nonlinear Schrödinger Equation, G. Muniraja and M. Lakshmanan, Intl. Journal of Geometric Methods in Modern Physics, 1,1043-1049 (2010).
  240. Coherently coupled bright optical solitons and their collisions, T. Kanna, M. Vijayajayanthi and M. Lakshmanan, J. Phys. A ,43, 434018 (14pp) (2010).
  241. A nonlocal connection between certain linear and nonlinear ordinary differential equations : Extension to coupled equations, R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, J. Math. Phys. 51, 103513 (18 pp) (2010)
  242. Experimental confirmation of chaotic phase synchronization in coupled time-delayed electronic circuits, D.V. Senthilkumar, K. Srinivasan, K. Murali, M. Lakshmanan and J. Kurths, Phys. Rev. E-Rapid Communication 82, 065201 (4pp) (2010)
  243. The Fascinating World of Landau-Lifshitz-Gilbert equation: An Overview, M. Lakshmanan, Philosophical Transactions of the Royal Society 369, 1280-1300 (2010)
  244. Matter wave switching in Bose-Einstein condensates via shape changing Soliton interactions, S. Rajendran, P. Muruganandam and M. Lakshmanan,J. Math. Phys 52, 023515-16 (2010)
  245. Mass Synchronization: Occurrence and its control with possible applications to brain dynamics , Jane H. Sheeba, V. K. Chandrasekar and M. Lakshmanan,Chaos 20, 045106-8 (2010).
  246. Design of time delayed chaotic circuit with threshold controller, K. Srinivasan, I. Raja Mohamed, K. Murali, M. Lakshmanan and Sudeshna Sinha, Int. J.Bifur. Chaos 21, 3, 725-735 (2011)
  247. Observation of chaotic beats in driven memristive Chua's circuit, A. Ishaq Ahamed, K. Srinivasan, K. Murali and M. Lakshmanan Int.J. Bifur. Chaos 21, 3, 737-757 (2011)
  248. Synchronization transition in coupled time-delay electronic circuits with a threshold non-linearity, K. Srinivasan, D.V. Senthilkumar, K. Murali, M. Lakshmanan and J. Kurths, Chaos 21, 023119-11 (2011).
  249. A general coupled nonlinear oscillator model for event-related (de)synchronization , Jane H. Sheeba, V. K. Chandrasekar and M. Lakshmanan, Phys. Rev. E 84, 036210 (7pp) (2011)
  250. Nonlocal symmetries of a class of scalar and coupled nonlinear ordinary differential equations of any order, R Gladwin Pradeep, V K Chandrasekar, M Senthilvelan and M Lakshmanan, J. Phys. A. Math. Theor. 44 (2011)

Papers in Proceedings

  1. Solitons in Magnetic Chains, M. Lakshmanan and M. Daniel, In Current Trends in Magnetism, Proceedings of the Indian Physical Society Seminar (1981) Eds. N. S. Murthy and L. M. Rao, pp. 263-275
  2. On the Nonlinear Excitations in One-Dimensional Uniaxial Anisotropic Heisenberg Ferromagnetic Spin Chain in External Magnetic Fields, M. Lakshmanan, M. Daniel and K. Nakamura, Dynamical Problem in Soliton System Ed. S. Takeno, Springer-Verlag (1985), pp. 210-216
  3. Painlevé Analysis and Integrability Aspects of Nonlinear Evolution Equations, M. Lakshmanan and K. M. Tamizhmani, In Solitons: Introduction and Applications Ed. M. Lakshmanan Springer-Verlag, Berlin (1988), pp. 145-161
  4. Quantum Mechanics of Nonintegrable Systems: Integrability Aspects of Quantum Chaos, K. Nakamura, M. Lakshmanan, In Finite Dimensional Integrable Nonlinear Dynamical Systems, Eds. P. G. L. Leach and W. H. Steeb, World Scientific Press, 1988
  5. Painlevé Property and Lie Bäcklund Symmetries of a Class of Coupled Nonlinear Evolution Equations, K. M. Tamizhmani, R. Sahadevan and M. Lakshmanan, In topics in Mathematical Analysis, Ed. T.M. Rassias, World Scientific Publ. Co. Singapore (1989)
  6. On the Nonlinear Dynamics of the One Dimensional Classical Heisenberg Ferromagnetic Spin Chain, M. Lakshmanan, K. Porsezian and M. Daniel, In Nonlinear Evolution Equations: Integrability and Spectral Methods, Como Workshop, Manchester Univ. Press (1990), pp. 549-558
  7. Coupled Nonlinear Oscillators, Symmetries and Integrability, M. Lakshmanan, In Nonlinear Physics: Guchao Hao et al (Ed), Springer-Verlag, (1990) pp. 54-67
  8. Generalized Lie Symmetries and Integrability of Coupled Nonlinear Oscillators with Two Degrees of Freedom, M. Senthil Velan and M. Lakshmanan, In Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems: M. Lakshmanan and M. Daniel (Eds), Springer-Verlag, Berlin (1990), pp. 65-77
  9. Dynamical Symmetries and Finite Dimensional Nonlinear Systems: Integrability and Separability, M. Lakshmanan and M. Senthil Velan, In Nonlinear Fields: Classical, Random, Semi Classical, R. Garbaczewski and Z. Popowicz (Eds.), World Scientific, Singapore, (1991), pp. 665-674
  10. Inverse Scattering in (2+1) Dimensions, M. Lakshmanan and R. Radha, In the Proceedings of the Symposium on Plasma Science and Technology, K. P. Maheswari (Ed.) Wiley Eastern New Delhi (1992)
  11. Integrability Aspects of a Higher Order Nonlinear Schrödinger Equation in Nonlinear Optics, K. Porsezian, M. Daniel and M. Lakshmanan, In Nonlinear Evolution Equations and Dynamical systems 1993 V. G. Makhankov (Ed.), World Scientific, Singapore pp. 436-443
  12. Motion of Curves and Surfaces and Nonlinear Evolution Equations in (2+1) Dimensions, M. Lakshmanan and S. Vijayalakshmi, Proceedings of the International Conference on “Nonlinear Dynamics: Integrability & Chaos" M. Daniel, K. M. Tamizhmani and R. Sahadevan (Eds), Narosa, New Delhi (2000) pp. 63-72
  13. Dynamics of Certain Chaotic Delayed Cellular Neural Networks, P. Thangavel, K. Murali and M. Lakshmanan, Proceedings of the International Conference on “Nonlinear Dynamics: Integrability & Chaos" M. Daniel, K. M. Tamizhmani and R. Sahadevan (Eds), Narosa, New Delhi (2000) pp. 277-286
  14. Spatiotemporal Patterns in Arrays of Coupled Electronic Circuits, M. Lakshmanan and P. Muruganandam, Proceedings of the International Conference on “Nonlinear Dynamics: Integrability & Chaos" M. Daniel, K.M. Tamizhmani & R. Sahadevan (Eds), Narosa, New Delhi (2000) pp. 327-344
  15. Nonlinear Dynamics: From Theory to Technology, M. Lakshmanan, T. Kanna and P. Palaniyandi, Proceedings of the Symposium on “Nonlinear Systems” R. Sahadevan & M. Lakshmanan (Eds.), Narosa, New Delhi (2002) pp. 3-28
  16. M. Lakshmanan and T. Kanna, Multicomponent higher order bright soliton solutions and shape changing collisions in coupled nonlinear Schrödinger equations, in Optical Solitons-Theoretical and Experimental Challenges, (Eds.) K. Porsezian and V. C. Kuriakose (Springer-Verlag, Berlin 2003, pp. 141-164).
  17. Lie Point Symmetries for Nonlinear Dissipative Systems, S. N. Pandey and M. Lakshmanan, Proceedings of the First National Conference on “Nonlinear Systems & Dynamics", Centre for Theoretical studies, Indian Institute of Technology, Kharagpur (2003) pp. 9-12
  18. Singularity Structure Analysis and Exponentially Localized Solutions of a (2+1) dimensional Nonlinear Evolution Equation, C. Senthil Kumar, R. Radha and M. Lakshmanan, Proceedings of the First National Conference on “Nonlinear Systems & Dynamics", Centre for Theoretical studies, Indian Institute of Technology, Kharagpur (2003) pp. 29-32
  19. Bifurcations and Chaos in a Piecewise Linear Time Delayed System, D. V. Senthil Kumar and M. Lakshmanan, Proceedings of the First National Conference on “Nonlinear Systems & Dynamics", Centre for Theoretical studies, Indian Institute of Technology, Kharagpur (2003) pp. 41-44
  20. Computing via Optical Soliton Collisions, T. Kanna and M. Lakshmanan, Proceedings of the First National Conference on “Nonlinear Systems & Dynamics", Centre for Theoretical studies, Indian Institute of Technology, Kharagpur (2003) pp. 125-128
  21. Controlling Based Methods for Estimating System Parameters from Time Series, P. Palaniyandi and M. Lakshmanan, Proceedings of National Conference on Nonlinear Systems and Dynamics-2006, RIASM, University of Madras, Chennai (2006).
  22. New Localized Coherent Structures and Periodic Solutions of the (2+1) dimensional K-dV equation, C. Senthil Kumar, R. Radha and M. Lakshmanan, Proceedings of National Conference on Nonlinear Systems and Dynamics-2006, RIASM, University of Madras, Chennai (2006).
  23. Generalized Synchronization in Time-Delayed System, D. V. Senthil Kumar and M. Lakshmanan, Proceedings of National Conference on Nonlinear Systems and Dynamics-2006, RIASM, University of Madras, Chennai (2006).
  24. A Nonlinear Oscillator with Unusual Dynamical Properties, V. K. Chandrasekar, M. Senthil Velan and M. Lakshmanan, Proceedings of National Conference on Nonlinear Systems and Dynamics-2006, RIASM, University of Madras, Chennai (2006).
  25. Parametric Autoresonance in Bose-Einstein Condensation, S. Rajendran, P. Muruganandam and M. Lakshmanan, Proceedings of National Conference on Nonlinear Systems and Dynamics-2006, RIASM, University of Madras, Chennai (2006).

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