M. Lakshmanan
Bharathidasan University, India
Personal Home Page
http://cnld.bdu.ac.in/lakshman/
Articles in Scholarly Journals [Incomplete List]
- Coexistence of synchronized and desynchronized patterns in coupled chaotic dynamical systems
Chaos, Solitons & Fractals, vol. 36, no. 4, pp. 991–1018, 2008 - Bright-dark solitons and their collisions in mixed
N
-coupled nonlinear Schrödinger equations
Physical Review A, vol. 77, no. 1, 2008 - 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 - Intermittency transition to generalized synchronization in coupled time-delay systems
Physical Review E, vol. 76, no. 6, 2007 - 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 - 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 - Dynamical echo in two-state quantum systems
Chaos, Solitons & Fractals, vol. 33, no. 5, pp. 1618–1624, 2007 - 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 - On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator
Journal of Mathematical Physics, vol. 48, no. 3, p. 032701, 2007 - A simple and unified approach to identify integrable nonlinear oscillators and systems
Journal of Mathematical Physics, vol. 47, no. 2, p. 023508, 2006 - 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 - 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 - Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations
Physical Review E, vol. 73, no. 2, 2006 - Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit
Physical Review E, vol. 74, no. 3, 2006 - Phase synchronization in time-delay systems
Physical Review E, vol. 74, no. 3, 2006 - 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 - Unusual Liénard-type nonlinear oscillator
Physical Review E, vol. 72, no. 6, 2005 - 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 - Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems
Physical Review E, vol. 71, no. 1, 2005 - Desynchronized wave patterns in synchronized chaotic regions of coupled map lattices
Physical Review E, vol. 72, no. 3, 2005 - Existence of anticipatory, complete and lag synchronizations in time-delay systems
Journal of Physics: Conference Series, vol. 23, pp. 300–308, 2005 - 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 - Estimation of system parameters in discrete dynamical systems from time series
Physics Letters A, vol. 342, no. 1-2, pp. 134–139, 2005 - Nonlinear dynamics: Challenges and perspectives
Pramana, vol. 64, no. 4, pp. 617–632, 2005 - 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 - 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 - Application of extended Prelle–Singer procedure to the generalized modified Emden type equation
Chaos, Solitons & Fractals, vol. 26, no. 5, pp. 1399–1406, 2005 - Exponentially localized solutions of Mel'nikov equation
Chaos, Solitons & Fractals, vol. 22, no. 3, pp. 705–712, 2004 - 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 - Comment on “Determination of Limit Cycles for Strongly Nonlinear Oscillators”
Physical Review Letters, vol. 93, no. 6, 2004 - 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 - 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 - 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 - Journal of Physics A: Mathematical and General, vol. 34, no. 49, pp. L689–L696, 2001
- 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 - 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 - 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 - 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 - 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 - Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator
Physical Review E, vol. 61, no. 4, pp. 3641–3651, 2000 - Shape-changing collisions of coupled bright solitons in birefringent optical fibers
Reports on Mathematical Physics, vol. 46, no. 1-2, pp. 143–156, 2000 - 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 - Birth of strange nonchaotic attractors through type III intermittency
Physics Letters A, vol. 259, no. 3-4, pp. 246–253, 1999 - 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 - 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 - Suppression and enhancement of soliton switching during interaction in periodically twisted birefringent fibers
Physical Review E, vol. 60, no. 2, pp. 2317–2321, 1999 - Different routes to chaos via strange nonchaotic attractors in a quasiperiodically forced system
Physical Review E, vol. 58, no. 3, pp. 3008–3016, 1998 - 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 - Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions
Journal of Mathematical Physics, vol. 39, no. 7, p. 3765, 1998 - Secure communication using a compound signal from generalized synchronizable chaotic systems*1
Physics Letters A, vol. 241, no. 6, pp. 303–310, 1998 - 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 - Exotic coherent structures in the (2+1) dimensional long dispersive wave equation
Journal of Mathematical Physics, vol. 38, no. 1, p. 292, 1997 - 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 - 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 - Localized coherent structures of (2+1) dimensional generalizations of soliton systems
Pramana, vol. 48, no. 1, pp. 163–188, 1997 - 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 - 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 - Inelastic collision and switching of coupled bright solitons in optical fibers
Physical Review E, vol. 56, no. 2, pp. 2213–2216, 1997 - Nonlinear dynamics of damped and driven velocity-dependent systems
Physical Review E, vol. 55, no. 5, pp. 5134–5146, 1997 - Journal of Physics A: Mathematical and General, vol. 30, no. 9, pp. 3229–3233, 1997
- Journal of Physics A: Mathematical and General, vol. 30, no. 9, pp. 3261–3271, 1997
- 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 - Efficient signal transmission by synchronization through compound chaotic signal
Physical Review E, vol. 56, no. 1, pp. 251–255, 1997 - Exact soliton solutions to coupled nonlinear Schrödinger equations with higher-order effects
Physical Review E, vol. 54, no. 3, pp. 2949–2955, 1996 - 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 - Journal of Physics A: Mathematical and General, vol. 29, no. 7, pp. 1551–1562, 1996
- Journal of Physics A: Mathematical and General, vol. 28, no. 23, pp. 6977–6987, 1995
- Journal of Physics A: Mathematical and General, vol. 28, no. 24, pp. 7299–7314, 1995
- Journal of Physics A: Mathematical and General, vol. 28, no. 9, pp. 2683–2692, 1995
- 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 - Multisoliton generation in inhomogeneous nonlinear Schrödinger and Heisenberg spin systems
Chaos, Solitons & Fractals, vol. 4, no. 2, pp. 181–189, 1994 - Inverse Problems, vol. 10, no. 4, pp. L29–L33, 1994
- Phase-integral approach to quantal two- and three-dimensional isotropic anharmonic oscillators
Physical Review A, vol. 49, no. 5, pp. 3296–3309, 1994 - On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
Journal of Mathematical Physics, vol. 35, no. 12, p. 6498, 1994 - Drive-response scenario of chaos synchronization in identical nonlinear systems
Physical Review E, vol. 49, no. 6, pp. 4882–4885, 1994 - Quantum chaos of the hydrogen atom in a generalized van der Waals potential
Physical Review A, vol. 48, no. 2, pp. 964–976, 1993 - Transmission of signals by synchronization in a chaotic Van der Pol–Duffing oscillator
Physical Review E, vol. 48, no. 3, pp. R1624–R1626, 1993 - Painlevé analysis, Lie symmetries, and integrability of coupled nonlinear oscillators of polynomial type
Physics Reports, vol. 224, no. 1-2, pp. 1–93, 1993 - Prediction of horseshoe chaos in BVP and DVP oscillators
Chaos, Solitons & Fractals, vol. 2, no. 3, pp. 271–280, 1992 - 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 - Semiclassical quantization of the hydrogen atom in a generalized van der Waals potential
Physical Review A, vol. 45, no. 3, pp. 1548–1555, 1992 - 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 - 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 - Field-theoretical model inspired by adiabatic-ansatz eigenvalue problems
Physical Review A, vol. 46, no. 10, pp. 6311–6314, 1992 - On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
Journal of Mathematical Physics, vol. 32, no. 10, p. 2923, 1991 - 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 - Dynamics of atomic hydrogen in a generalized van der Waals potential
Physical Review A, vol. 42, no. 7, pp. 3940–3947, 1990 - Journal of Physics A: Mathematical and General, vol. 23, no. 23, pp. L1223–L1228, 1990
- Inverse Problems, vol. 5, no. 2, pp. L15–L19, 1989
- 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 - Journal of Physics A: Mathematical and General, vol. 20, no. 10, pp. 3047–3049, 1987
- Journal of Physics A: Mathematical and General, vol. 19, no. 16, pp. L949–L954, 1986
- Journal of Physics A: Mathematical and General, vol. 19, no. 10, pp. 1783–1791, 1986
- Linearization and Painleve´ property of Liouville and Cheng equations
Journal of Mathematical Physics, vol. 27, no. 9, p. 2257, 1986 - Complete integrability of coupled quartic anharmonic oscillators
Physical Review A, vol. 33, no. 5, pp. 3563–3566, 1986 - 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 - Coupled quartic anharmonic oscillators, Painlevé analysis, and integrability
Physical Review A, vol. 31, no. 2, pp. 861–876, 1985 - Comment on "Method for the Exact Solution of a Nonlinear Diffusion-Convection Equation"
Physical Review Letters, vol. 51, no. 16, pp. 1497–1497, 1983 - Journal of Physics A: Mathematical and General, vol. 16, no. 16, pp. 3773–3782, 1983
- 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 - Lie transformations, nonlinear evolution equations, and Painleve´ forms
Journal of Mathematical Physics, vol. 24, no. 4, p. 795, 1983 - Journal of Physics A: Mathematical and General, vol. 13, no. 7, pp. L227–L229, 1980
- Journal of Physics A: Mathematical and General, vol. 13, no. 9, pp. L299–L302, 1980
- Journal of Physics A: Mathematical and General, vol. 12, no. 10, pp. L249–L252, 1979