M. Lakshmanan
Bharathidasan University, India

Personal Home Page

http://cnld.bdu.ac.in/lakshman/

Articles in Scholarly Journals [Incomplete List]

  1. Coexistence of synchronized and desynchronized patterns in coupled chaotic dynamical systems
    Chaos, Solitons & Fractals, vol. 36, no. 4, pp. 991–1018, 2008
  2. Bright-dark solitons and their collisions in mixed N -coupled nonlinear Schrödinger equations
    Physical Review A, vol. 77, no. 1, 2008
  3. Periodic energy switching of bright solitons in mixed coupled nonlinear Schrödinger equations with linear self-coupling and cross-coupling terms
    Physical Review A, vol. 76, no. 1, 2007
  4. Intermittency transition to generalized synchronization in coupled time-delay systems
    Physical Review E, vol. 76, no. 6, 2007
  5. Localized coherent structures of Ishimori equation I through Hirota’s bilinearization method: Time dependent/stationary boundaries
    Chaos, Solitons & Fractals, vol. 33, no. 1, pp. 203–216, 2007
  6. Nonstationary excitations in Bose–Einstein condensates under the action of periodically varying scattering length with time dependent frequencies
    Physica D: Nonlinear Phenomena, vol. 227, no. 1, pp. 1–7, 2007
  7. Dynamical echo in two-state quantum systems
    Chaos, Solitons & Fractals, vol. 33, no. 5, pp. 1618–1624, 2007
  8. Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag and complete synchronizations in time-delay nonlinear dynamical systems
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 17, no. 1, p. 013112, 2007
  9. On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator
    Journal of Mathematical Physics, vol. 48, no. 3, p. 032701, 2007
  10. A simple and unified approach to identify integrable nonlinear oscillators and systems
    Journal of Mathematical Physics, vol. 47, no. 2, p. 023508, 2006
  11. Nonintegrability of (2+1)(2+1)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis
    Physics Letters A, vol. 356, no. 4-5, pp. 339–345, 2006
  12. A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators
    Journal of Physics A: Mathematical and General, vol. 39, no. 31, pp. 9743–9754, 2006
  13. Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations
    Physical Review E, vol. 73, no. 2, 2006
  14. Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit
    Physical Review E, vol. 74, no. 3, 2006
  15. Phase synchronization in time-delay systems
    Physical Review E, vol. 74, no. 3, 2006
  16. Extended Prelle-Singer Method and Integrability/Solvability of a Class of Nonlinear nth Order Ordinary Differential Equations
    Journal of Non-linear Mathematical Physics, vol. 12, no. Supplement 1, Article ID 478, 2005
  17. Unusual Liénard-type nonlinear oscillator
    Physical Review E, vol. 72, no. 6, 2005
  18. Periodic and localized solutions of the long wave–short wave resonance interaction equation
    Journal of Physics A: Mathematical and General, vol. 38, no. 44, pp. 9649–9663, 2005
  19. Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems
    Physical Review E, vol. 71, no. 1, 2005
  20. Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices
    Physical Review E, vol. 72, no. 3, 2005
  21. Existence of anticipatory, complete and lag synchronizations in time-delay systems
    Journal of Physics: Conference Series, vol. 23, pp. 300–308, 2005
  22. A unification in the theory of linearization of second-order nonlinear ordinary differential equations
    Journal of Physics A: Mathematical and General, vol. 39, no. 3, pp. L69–L76, 2005
  23. Estimation of system parameters in discrete dynamical systems from time series
    Physics Letters A, vol. 342, no. 1-2, pp. 134–139, 2005
  24. Nonlinear dynamics: Challenges and perspectives
    Pramana, vol. 64, no. 4, pp. 617–632, 2005
  25. Equatorial and related non-equilibrium states in magnetization dynamics of ferromagnets: Generalization of Suhl’s spin-wave instabilities
    Physica D: Nonlinear Phenomena, vol. 203, no. 3-4, pp. 233–248, 2005
  26. Estimation of system parameters and predicting the flow function from time series of continuous dynamical systems
    Physics Letters A, vol. 338, no. 3-5, pp. 253–260, 2005
  27. Application of extended Prelle–Singer procedure to the generalized modified Emden type equation
    Chaos, Solitons & Fractals, vol. 26, no. 5, pp. 1399–1406, 2005
  28. Exponentially localized solutions of Mel'nikov equation
    Chaos, Solitons & Fractals, vol. 22, no. 3, pp. 705–712, 2004
  29. New aspects of integrability of force-free Duffing–van der Pol oscillator and related nonlinear systems
    Journal of Physics A: Mathematical and General, vol. 37, no. 16, pp. 4527–4534, 2004
  30. Comment on “Determination of Limit Cycles for Strongly Nonlinear Oscillators”
    Physical Review Letters, vol. 93, no. 6, 2004
  31. Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems
    Chaos, Solitons & Fractals, vol. 18, no. 4, pp. 891–898, 2003
  32. Exact soliton solutions of coupled nonlinear Schrödinger equations: Shape-changing collisions, logic gates, and partially coherent solitons
    Physical Review E, vol. 67, no. 4, 2003
  33. Analytical calculation of nonadiabatic transition probabilities from the monodromy of differential equations
    Journal of Physics A: Mathematical and General, vol. 36, no. 21, pp. 5803–5815, 2003
  34. Journal of Physics A: Mathematical and General, vol. 34, no. 49, pp. L689–L696, 2001
  35. Quantal two-center Coulomb problem treated by means of the phase-integral method. I. General theory
    Journal of Mathematical Physics, vol. 42, no. 11, p. 5051, 2001
  36. Shape changing collisions of optical solitons, universal logic gates and partially coherent solitons in coupled nonlinear Schrödinger equations
    Pramana, vol. 57, no. 5-6, pp. 885–916, 2001
  37. 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
    Journal of Mathematical Physics, vol. 42, no. 11, p. 5077, 2001
  38. Interruption of torus doubling bifurcation and genesis of strange nonchaotic attractors in a quasiperiodically forced map: Mechanisms and their characterizations
    Physical Review E, vol. 63, no. 2, 2001
  39. Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations
    Physical Review Letters, vol. 86, no. 22, pp. 5043–5046, 2001
  40. Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator
    Physical Review E, vol. 61, no. 4, pp. 3641–3651, 2000
  41. Shape-changing collisions of coupled bright solitons in birefringent optical fibers
    Reports on Mathematical Physics, vol. 46, no. 1-2, pp. 143–156, 2000
  42. Generalized Dromions in the (2+1) Dimensional Long Dispersive Wave (2LDW) and Scalar Nonlinear Schrödinger (NLS) Equations
    Chaos, Solitons, & Fractals, vol. 10, no. 11, pp. 1821–1824, 1999
  43. Birth of strange nonchaotic attractors through type III intermittency
    Physics Letters A, vol. 259, no. 3-4, pp. 246–253, 1999
  44. Coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media
    Physical Review E, vol. 60, no. 3, pp. 3314–3323, 1999
  45. Explode-Decay Dromions in the Non-Isospectral Davey-Stewartson I (DSI) Equation
    Journal of Non-linear Mathematical Physics, vol. 6, no. 2, Article ID 883, 1999
  46. Suppression and enhancement of soliton switching during interaction in periodically twisted birefringent fibers
    Physical Review E, vol. 60, no. 2, pp. 2317–2321, 1999
  47. Different routes to chaos via strange nonchaotic attractors in a quasiperiodically forced system
    Physical Review E, vol. 58, no. 3, pp. 3008–3016, 1998
  48. Lie Symmetries, Kac-Moody-Virasoro Algebras and Integrability of Certain (2+1)-Dimensional Nonlinear Evolution Equations
    Journal of Non-linear Mathematical Physics, vol. 5, no. 2, Article ID 912, 1998
  49. Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions
    Journal of Mathematical Physics, vol. 39, no. 7, p. 3765, 1998
  50. Secure communication using a compound signal from generalized synchronizable chaotic systems*1
    Physics Letters A, vol. 241, no. 6, pp. 303–310, 1998
  51. On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schro¨dinger equations
    Journal of Mathematical Physics, vol. 39, no. 4, p. 2122, 1998
  52. Exotic coherent structures in the (2+1) dimensional long dispersive wave equation
    Journal of Mathematical Physics, vol. 38, no. 1, p. 292, 1997
  53. Control of chaos by nonfeedback methods in a simple electronic circuit system and the FitzHugh-Nagumo equation
    Chaos, Solitons & Fractals, vol. 8, no. 9, pp. 1545–1558, 1997
  54. A (2 + 1)-dimensional integrable spin model: Geometrical and gauge equivalent counterpart, solitons and localized coherent structures
    Physics Letters A, vol. 233, no. 4-6, pp. 391–396, 1997
  55. Localized coherent structures of (2+1) dimensional generalizations of soliton systems
    Pramana, vol. 48, no. 1, pp. 163–188, 1997
  56. Bifurcation analysis of the travelling waveform of FitzHugh–Nagumo nerve conduction model equation
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 7, no. 3, p. 476, 1997
  57. Localized coherent structures and integrability in a generalized (2 + 1)-dimensional nonlinear Schrödinger equation
    Chaos, Solitons & Fractals, vol. 8, no. 1, pp. 17–25, 1997
  58. Inelastic collision and switching of coupled bright solitons in optical fibers
    Physical Review E, vol. 56, no. 2, pp. 2213–2216, 1997
  59. Nonlinear dynamics of damped and driven velocity-dependent systems
    Physical Review E, vol. 55, no. 5, pp. 5134–5146, 1997
  60. Journal of Physics A: Mathematical and General, vol. 30, no. 9, pp. 3229–3233, 1997
  61. Journal of Physics A: Mathematical and General, vol. 30, no. 9, pp. 3261–3271, 1997
  62. Bifurcation and chaos in the double-well Duffing–van der Pol oscillator: Numerical and analytical studies
    Physical Review E, vol. 56, no. 6, pp. 6321–6330, 1997
  63. Efficient signal transmission by synchronization through compound chaotic signal
    Physical Review E, vol. 56, no. 1, pp. 251–255, 1997
  64. Exact soliton solutions to coupled nonlinear Schrödinger equations with higher-order effects
    Physical Review E, vol. 54, no. 3, pp. 2949–2955, 1996
  65. Lie Symmetries, Infinite-Dimensional Lie Algebras and Similarity Reductions of Certain (2+1)-Dimensional Nonlinear Evolution Equations
    Journal of Non-linear Mathematical Physics, vol. 3, no. 1-2, Article ID 1045, 1996
  66. Journal of Physics A: Mathematical and General, vol. 29, no. 7, pp. 1551–1562, 1996
  67. Journal of Physics A: Mathematical and General, vol. 28, no. 23, pp. 6977–6987, 1995
  68. Journal of Physics A: Mathematical and General, vol. 28, no. 24, pp. 7299–7314, 1995
  69. Journal of Physics A: Mathematical and General, vol. 28, no. 9, pp. 2683–2692, 1995
  70. Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
    Journal of Mathematical Physics, vol. 35, no. 9, p. 4746, 1994
  71. Multisoliton generation in inhomogeneous nonlinear Schrödinger and Heisenberg spin systems
    Chaos, Solitons & Fractals, vol. 4, no. 2, pp. 181–189, 1994
  72. Inverse Problems, vol. 10, no. 4, pp. L29–L33, 1994
  73. Phase-integral approach to quantal two- and three-dimensional isotropic anharmonic oscillators
    Physical Review A, vol. 49, no. 5, pp. 3296–3309, 1994
  74. On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
    Journal of Mathematical Physics, vol. 35, no. 12, p. 6498, 1994
  75. Drive-response scenario of chaos synchronization in identical nonlinear systems
    Physical Review E, vol. 49, no. 6, pp. 4882–4885, 1994
  76. Quantum chaos of the hydrogen atom in a generalized van der Waals potential
    Physical Review A, vol. 48, no. 2, pp. 964–976, 1993
  77. Transmission of signals by synchronization in a chaotic Van der Pol–Duffing oscillator
    Physical Review E, vol. 48, no. 3, pp. R1624–R1626, 1993
  78. Painlevé analysis, Lie symmetries, and integrability of coupled nonlinear oscillators of polynomial type
    Physics Reports, vol. 224, no. 1-2, pp. 1–93, 1993
  79. Prediction of horseshoe chaos in BVP and DVP oscillators
    Chaos, Solitons & Fractals, vol. 2, no. 3, pp. 271–280, 1992
  80. On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
    Journal of Mathematical Physics, vol. 33, no. 5, p. 1807, 1992
  81. Semiclassical quantization of the hydrogen atom in a generalized van der Waals potential
    Physical Review A, vol. 45, no. 3, pp. 1548–1555, 1992
  82. Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: Nonintegrability and chaos
    Journal of Mathematical Physics, vol. 33, no. 2, p. 771, 1992
  83. Direct integration of generalized Lie or dynamical symmetries of three degrees of freedom nonlinear Hamiltonian systems: Integrability and separability
    Journal of Mathematical Physics, vol. 33, no. 12, p. 4068, 1992
  84. Field-theoretical model inspired by adiabatic-ansatz eigenvalue problems
    Physical Review A, vol. 46, no. 10, pp. 6311–6314, 1992
  85. On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
    Journal of Mathematical Physics, vol. 32, no. 10, p. 2923, 1991
  86. Generalized Lie symmetries and complete integrability of certain nonlinear Hamiltonian systems with three degrees of freedom
    Journal of Mathematical Physics, vol. 32, no. 1, p. 75, 1991
  87. Dynamics of atomic hydrogen in a generalized van der Waals potential
    Physical Review A, vol. 42, no. 7, pp. 3940–3947, 1990
  88. Journal of Physics A: Mathematical and General, vol. 23, no. 23, pp. L1223–L1228, 1990
  89. Inverse Problems, vol. 5, no. 2, pp. L15–L19, 1989
  90. Comment on "Dynamical Symmetries of the Perturbed Hydrogen Atom: The van der Waals Interaction"
    Physical Review Letters, vol. 62, no. 2, pp. 232–232, 1989
  91. Journal of Physics A: Mathematical and General, vol. 20, no. 10, pp. 3047–3049, 1987
  92. Journal of Physics A: Mathematical and General, vol. 19, no. 16, pp. L949–L954, 1986
  93. Journal of Physics A: Mathematical and General, vol. 19, no. 10, pp. 1783–1791, 1986
  94. Linearization and Painleve´ property of Liouville and Cheng equations
    Journal of Mathematical Physics, vol. 27, no. 9, p. 2257, 1986
  95. Complete integrability of coupled quartic anharmonic oscillators
    Physical Review A, vol. 33, no. 5, pp. 3563–3566, 1986
  96. Lie–Ba¨cklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
    Journal of Mathematical Physics, vol. 26, no. 6, p. 1189, 1985
  97. Coupled quartic anharmonic oscillators, Painlevé analysis, and integrability
    Physical Review A, vol. 31, no. 2, pp. 861–876, 1985
  98. Comment on "Method for the Exact Solution of a Nonlinear Diffusion-Convection Equation"
    Physical Review Letters, vol. 51, no. 16, pp. 1497–1497, 1983
  99. Journal of Physics A: Mathematical and General, vol. 16, no. 16, pp. 3773–3782, 1983
  100. Comment on the classical models of electrons and nuclei and the generalizations of classical Poisson brackets to include spin
    The Journal of Chemical Physics, vol. 78, no. 12, p. 7505, 1983
  101. Lie transformations, nonlinear evolution equations, and Painleve´ forms
    Journal of Mathematical Physics, vol. 24, no. 4, p. 795, 1983
  102. Journal of Physics A: Mathematical and General, vol. 13, no. 7, pp. L227–L229, 1980
  103. Journal of Physics A: Mathematical and General, vol. 13, no. 9, pp. L299–L302, 1980
  104. Journal of Physics A: Mathematical and General, vol. 12, no. 10, pp. L249–L252, 1979