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## Lakshmanan, Muthusamy

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 Author ID: lakshmanan.muthusamy Published as: Lakshmanan, M.; Lakshmanan, Muthusamy Homepage: http://www.bdu.ac.in/schools/physics/physics/dr_m_lakshmanan.php External Links: Wikidata · dblp · GND
 Documents Indexed: 216 Publications since 1974, including 5 Books Biographic References: 1 Publication
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#### Co-Authors

 16 single-authored 55 Senthilvelan, Murugaian 45 Chandrasekar, V. K. 15 Radha, Ramaswamy 12 Senthilkumar, Dharmapuri Vijayan 11 Pradeep, R. Gladwin 8 Tamizhmani, K. M. 7 Kanna, Thambithurai 7 Kurths, Jürgen 7 Mohanasubha, R. 7 Muruganandam, Paulsamy 6 Kumar, C. Senthil 6 Sahadevan, Ramajayam 6 Tiwari, Ajey K. 5 Ahamed, A. Ishaq 5 Bindu, P. S. 5 Myrzakulov, Ratbay 5 Porsezian, Kuppusamy 5 Sheeba, Jane H. 4 Devi, A. Durga 4 Kaliappan, Palaniappan 4 Palaniyandi, P. 4 Stalin, S. 3 Athavan, N. 3 Chakraborty, Subenoy 3 Dutta, Sourav 3 Fröman, Nanny 3 Ruby, V. Chithiika 3 Sakkaravarthi, K. 3 Thamilmaran, Kathamuthu 3 Vijayajayanthi, M. 2 Chua, Leon Ong 2 Karthiga, S. 2 Mohamed, I. Raja 2 Murugesh, S. 2 Nugmanova, Gulgasyl Nukarbaevna 2 Sathish Aravindh, M. 2 Saxena, Avadh Behari 2 Subash, B. 2 Thangavel, P. 2 Venkatesh, P. R. 1 Ashokkumar, P. 1 Bhuvaneswari, A. 1 Bountis, Tassos C. 1 Dabke, Kishor P. 1 Danlybaeva, A. K. 1 Divyasree, R. S. 1 Drossos, L. B. 1 Fröman, Per Olof 1 Gilson, Claire R. 1 Grammaticos, Basil 1 Hazra, Tamaghna 1 Jana, Debaldev 1 Johnpillai, Andrew Gratien 1 Klauder, John Rider 1 Kosaka, C. 1 Kruskal, Martin David 1 Kundu, Anjan 1 Lipton, Justin M. 1 Lou, Senyue 1 Mamyrbekova, G. K. 1 Mamyrbekova, Galya 1 Mathews, P. M. 1 Muniraja, Gopal 1 Nugmanova, Gulgassyl 1 Ponnuswamy, P. K. 1 Premalatha, K. 1 Ramani, Alfred 1 Rangarajan, Govindan 1 Ravi, Nikhil 1 Sankaranarayanan, Ramasubramanian 1 Sathiyadevi, K. 1 Sinha, Sudeshna 1 Syzdykova, R. N. 1 Tang, Xiaoyan 1 Vishnu Priya, N. 1 Vyshnavi Devi, N. S. N. V. K. 1 Wadati, Miki 1 Yesmakhanova, K. R.
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#### Serials

 34 Journal of Mathematical Physics 26 Journal of Physics A: Mathematical and General 25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 Physics Letters. A 12 Chaos, Solitons and Fractals 12 Chaos 8 Journal of Physics A: Mathematical and Theoretical 7 Physica D 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Journal of Nonlinear Mathematical Physics 6 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Sound and Vibration 3 Applied Mathematics and Computation 3 Nonlinear Dynamics 2 Inverse Problems 2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 2 Annals of Physics 2 Proceedings of the Indian National Science Academy. Part A. Physical Sciences 2 Journal of Nonlinear Mathematical Physics 1 Acta Mechanica 1 Applied Scientific Research 1 International Journal of Non-Linear Mechanics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Physica A 1 Reports on Mathematical Physics 1 Proceedings of the National Academy of Sciences, India. Section A 1 Quarterly of Applied Mathematics 1 Zeitschrift für Naturforschung. A. Physik, Physikalische Chemie, Kosmophysik 1 Philosophical Transactions of the Royal Society of London. Series A 1 International Journal of Modern Physics D 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the Physical Society of Japan 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Progress of Theoretical Physics 1 International Journal of Geometric Methods in Modern Physics 1 Springer Series in Synergetics 1 World Scientific Series on Nonlinear Science. Series A 1 Symmetry 1 Proceedings A. Royal Society of London 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Fields

 97 Dynamical systems and ergodic theory (37-XX) 86 Partial differential equations (35-XX) 72 Ordinary differential equations (34-XX) 25 Information and communication theory, circuits (94-XX) 23 Quantum theory (81-XX) 21 Mechanics of particles and systems (70-XX) 12 Statistical mechanics, structure of matter (82-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Biology and other natural sciences (92-XX) 7 Differential geometry (53-XX) 7 Optics, electromagnetic theory (78-XX) 6 Systems theory; control (93-XX) 4 Nonassociative rings and algebras (17-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

172 Publications have been cited 1,820 times in 1,266 Documents Cited by Year
Chaos in nonlinear oscillators: controlling and synchronization. Zbl 0868.58058
Lakshmanan, M.; Murali, K.
1996
Nonlinear dynamics. Integrability, chaos and patterns. Zbl 1038.37001
Lakshmanan, M.; Rajasekar, S.
2003
Secure communication using a compound signal from generalized synchronizable chaotic systems. Zbl 0933.94023
Murali, K.; Lakshmanan, M.
1998
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
2004
Lie transformations, nonlinear evolution equations, and Painleve forms. Zbl 0525.35022
Lakshmanan, M.; Kaliappan, P.
1983
Integrable nonlinear wave equations and possible connections to tsunami dynamics. Zbl 1310.76044
Lakshmanan, M.
2007
On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations. Zbl 1186.34046
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2005
Dromion-like structures in the $$(2+1)$$-dimensional breaking soliton equation. Zbl 1020.35515
1995
On a unique nonlinear oscillator. Zbl 0284.34046
Mathews, P. M.; Lakshmanan, M.
1974
A simple and unified approach to identify integrable nonlinear oscillators and systems. Zbl 1111.34003
Chandrasekar, V. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2006
On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions. Zbl 0821.35114
Daniel, M.; Porsezian, K.; Lakshmanan, M.
1994
Singularity analysis and localized coherent structures in $$(2+1)$$- dimensional generalized Korteweg-de Vries equations. Zbl 0818.35109
1994
Dynamics of nonlinear time-delay systems. Zbl 1230.37001
Lakshmanan, Muthusamy; Senthilkumar, Dharmapuri Vijayan
2010
Bifurcation and chaos in the simplest dissipative non-autonomous circuit. Zbl 0871.94055
Murali, K.; Lakshmanan, M.; Chua, L. O.
1994
On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain. Zbl 1112.82309
Porsezian, K.; Daniel, M.; Lakshmanan, M.
1992
Kadomtsev-Petviashvili and two-dimensional sine-Gordon equations: reduction to Painlevé transcendents. Zbl 0425.35080
Kaliappan, P.; Lakshmanan, M.
1979
Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems. Zbl 1073.37038
Venkatesan, A.; Parthasarathy, S.; Lakshmanan, M.
2003
On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system. Zbl 0800.35040
Porsezian, K.; Lakshmanan, M.
1991
Bright and dark soliton solutions to coupled nonlinear Schrödinger equations. Zbl 0841.35110
1995
A group theoretical identification of integrable equations in the Liénard-type equation $$\ddot x+f(x)\dot x+g(x) = 0$$. II: Equations having maximal Lie point symmetries. Zbl 1283.34036
Pandey, S. N.; Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M.
2009
New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems. Zbl 1069.34055
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2004
Localized coherent structures and integrability in a generalized $$(2+1)$$-dimensional nonlinear Schrödinger equation. Zbl 0918.35129
1997
The $$(2+1)$$-dimensional sine-Gordon equation; integrability and localized solutions. Zbl 0914.35118
1996
A nonlocal connection between certain linear and nonlinear ordinary differential equations/ oscillators. Zbl 1107.34003
Chandrasekar, V. K.; Senthilvelan, M.; Kundu, Anjan; Lakshmanan, M.
2006
A unification in the theory of linearization of second-order nonlinear ordinary differential equations. Zbl 1146.34312
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2006
On the general solution for the modified Emden-type equation $$\ddot x+\alpha x\dot x+\beta x^3=0$$. Zbl 1128.34003
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2007
Birth of strange nonchaotic attractors through type III intermittency. Zbl 0935.37007
Venkatesan, A.; Murali, K.; Lakshmanan, M.
1999
Classification of Lie point symmetries for quadratic Liénard type equation $$\ddot{x}+f(x)\dot{x}^2+g(x)=0$$. Zbl 1295.34049
Tiwari, Ajey K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2013
The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview. Zbl 1219.82139
Lakshmanan, M.
2011
Nonstandard bilinearization of $$\mathcal{PT}$$-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions. Zbl 1378.35074
Stalin, S.; Senthilvelan, M.; Lakshmanan, M.
2017
Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain $$(2+1)$$-dimensional nonlinear evolution equations. Zbl 1119.37324
Senthil Velan, M.; Lakshmanan, M.
1998
On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator. Zbl 1137.70344
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2007
Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons. Zbl 0416.70016
Lakshmanan, M.
1979
Controlling and synchronization of chaos in the simplest dissipative non-autonomous circuit. Zbl 0890.94046
Murali, K.; Lakshmanan, M.; Chua, L. O.
1995
Classification of bifurcations and routes to chaos in a variant of Murali-Lakshmanan-Chua circuit. Zbl 1044.37028
Thamilmaran, K.; Lakshmanan, M.
2002
Prediction of horseshoe chaos in BVP and DVP oscillators. Zbl 0768.58032
Rajasekar, S.; Parthasarathy, S.; Lakshmanan, M.
1992
Algorithms for controlling chaotic motion: Application for the BVP oscillator. Zbl 0790.93072
Rajasekar, S.; Lakshmanan, M.
1993
On the complete integrability and linearization of nonlinear ordinary differential equations. II: Third-order equations. Zbl 1149.34319
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2006
Integrability and singularity structure of coupled nonlinear Schrödinger equations. Zbl 1080.35546
1995
Lie-Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions. Zbl 0563.35074
Lakshmanan, M.; Tamizhmani, K. M.
1985
A $$(2+1)$$-dimensional integrable spin model: geometrical and gauge equivalent counterpart, solitons and localized coherent structures. Zbl 1044.37537
Myrzakulov, R.; Vijayalakshmi, S.; Nugmanova, G. N.; Lakshmanan, M.
1997
Nonstandard conserved Hamiltonian structures in dissipative/damped systems: nonlinear generalizations of damped harmonic oscillator. Zbl 1187.34046
2009
Coherently coupled bright optical solitons and their collisions. Zbl 1202.35300
Kanna, T.; Vijayajayanthi, M.; Lakshmanan, M.
2010
A group theoretical identification of integrable cases of the Li’enard-type equation $$\ddot x +f(x)\dot x +g(x)=0$$. I: Equations having nonmaximal number of Lie point symmetries. Zbl 1328.34031
Pandey, S. N.; Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M.
2009
A new class of induced coherent structures in the $$(2+1)$$-dimensional nonlinear Schrödinger equation. Zbl 0914.35126
1997
Singularity structure analysis of the continuum Heisenberg spin chain with anisotropy and transverse field: nonintegrability and chaos. Zbl 1046.82512
Daniel, M.; Kruskal, M. D.; Lakshmanan, M.; Nakamura, K.
1992
Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity. Zbl 1317.34111
Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J.
2011
Shape-changing collisions of coupled bright solitons in birefringent optical fibers. Zbl 1049.78015
Lakshmanan, M.; Kanna, T.; Radhakrishnan, R.
2000
Nonsmooth bifurcations, transient hyperchaos and hyperchaotic beats in a memristive Murali-Lakshmanan-Chua circuit. Zbl 1272.34058
Ahamed, A. Ishaq; Lakshmanan, M.
2013
Trilinearization and localized coherent structures and periodic solutions for the $$(2 + 1)$$ dimensional K-dV and NNV equations. Zbl 1197.35236
Kumar, C. Senthil; Radha, R.; Lakshmanan, M.
2009
Synchronization through compound chaotic signal in Chua’s circuit and Murali-Lakshmanan-Chua circuit. Zbl 0890.94041
Murali, K.; Lakshmanan, M.
1997
Motion of curves and surfaces and nonlinear evolution equations in $$(2+1)$$ dimensions. Zbl 0927.53003
Lakshmanan, M.; Myrzakulov, R.; Vijayalakshmi, S.; Danlybaeva, A. K.
1998
Bifurcation and controlling of chaotic delayed cellular neural networks. Zbl 0935.92003
Thangavel, P.; Murali, K.; Lakshmanan, M.
1998
Period-doubling bifurcations, chaos, phase-locking and devil’s staircase in a Bonhoeffer-van der Pol oscillator. Zbl 0658.58025
Rajasekar, S.; Lakshmanan, M.
1988
Painlevé analysis and integrability of coupled nonlinear Schrödinger equations. Zbl 0621.35081
Sahadevan, R.; Tamizhmani, K. M.; Lakshmanan, M.
1986
Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator. Zbl 1252.81055
Ruby, V. Chithiika; Senthilvelan, M.; Lakshmanan, M.
2012
Complete integrability of the Korteweg-de Vries equation under perturbation around its solution: Lie-Bäcklund symmetry approach. Zbl 0544.35079
Tamizhmani, K. M.; Lakshmanan, M.
1983
Synchronizing chaos in driven Chua’s circuit. Zbl 0894.58064
Murali, K.; Lakshmanan, M.
1993
Exotic coherent structures in the (2+1) dimensional long dispersive wave equation. Zbl 0870.35087
1997
Bifurcation and chaos of the sinusoidally-driven Chua’s circuit. Zbl 0874.58050
Murali, K.; Lakshmanan, M.
1991
On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations. Zbl 1001.37057
Myrzakulov, R.; Vijayalakshmi, S.; Syzdykova, R. N.; Lakshmanan, M.
1998
Periodic and localized solutions of the long wave-short wave resonance interaction equation. Zbl 1085.37052
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Tang, X. Y.; Lou, S. Y.
2005
Extended Prelle-Singer method and integrability/solvability of a class of nonlinear $$n$$th order ordinary differential equations. Zbl 1362.34002
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2005
Controlling of chaos in Bonhoeffer-van der Pol oscillator. Zbl 0875.93192
Rajasekar, S.; Lakshmanan, M.
1992
Observation of chaotic beats in a driven memristive Chua’s circuit. Zbl 1215.34051
Ahamed, A. Ishaq; Srinivasan, K.; Murali, K.; Lakshmanan, M.
2011
Singularity structure analysis and bilinear form of a $$(2+1)$$ dimensional nonlinear Schrödinger (NLS) equation. Zbl 0809.35127
1994
Geometrical and gauge equivalence of the generalized Hirota, Heisenberg and WKIS equations with linear inhomogeneities. Zbl 0711.35129
Lakshmanan, M.; Ganesan, S.
1985
Inverse synchronizations in coupled time-delay systems with inhibitory coupling. Zbl 1309.34105
Senthilkumar, D. V.; Kurths, J.; Lakshmanan, M.
2009
Direct integration of generalized Lie or dynamical symmetries of three degrees of freedom nonlinear Hamiltonian systems: Integrability and separability. Zbl 0784.58053
Lakshmanan, M.; Velan, M. Senthil
1992
Higher dimensional bright solitons and their collisions in a multicomponent long wave-short wave system. Zbl 1188.37071
Kanna, T.; Vijayajayanthi, M.; Sakkaravarthi, K.; Lakshmanan, M.
2009
The collision of multimode dromions and a firewall in the two-component long-wave-short-wave resonance interaction equation. Zbl 1163.35037
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Gilson, C. R.
2009
Integrable $$(2 + 1)$$-dimensional spin models with self-consistent potentials. Zbl 1376.82108
Myrzakulov, Ratbay; Mamyrbekova, Galya; Nugmanova, Gulgassyl; Lakshmanan, Muthusamy
2015
Transition from quasiperiodicity to chaos and devil’s staircase structures of the driven Chua’s circuit. Zbl 0875.94135
Murali, K.; Lakshmanan, M.
1992
Generalized Lie symmetries and complete integrability of certain nonlinear Hamiltonian systems with three degrees of freedom. Zbl 0742.70016
1991
Equivalent forms of the generalized Hirota’s equation with linear inhomogeneities. Zbl 0711.35128
Lakshmanan, M.; Ganesan, S.
1983
Singularity-structure analysis and Hirota’s bilinearisation of the Davey- Stewartson equation. Zbl 0656.35141
Ganesan, S.; Lakshmanan, M.
1987
Exponentially localized solutions of Mel’nikov equation. Zbl 1112.35139
Senthil Kumar, C.; Radha, R.; Lakshmanan, M.
2004
Application of extended Prelle–Singer procedure to the generalized modified Emden type equation. Zbl 1086.34500
Chandrasekar, V. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2005
Lie symmetries and infinite-dimensional Lie algebras of certain nonlinear dissipative systems. Zbl 0833.34037
Senthil Velan, M.; Lakshmanan, M.
1995
Bifurcations and chaos in time delayed piecewise linear dynamical systems. Zbl 1093.34566
Senthilkumar, D. V.; Lakshmanan, M.
2005
Dynamics of a completely integrable $$N$$ coupled Liénard-type nonlinear oscillator. Zbl 1182.70025
2009
Motion of space curves in three-dimensional Minkowski space $$R^3_1$$, SO(2,1) spin equation and defocusing nonlinear Schrödinger equation. Zbl 1202.53009
Muniraja, Gopal; Lakshmanan, M.
2010
Applicability of 0-1 test for strange nonchaotic attractors. Zbl 1331.37041
Gopal, R.; Venkatesan, A.; Lakshmanan, M.
2013
Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations. Zbl 1359.34004
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2014
On the exact solutions of the Duffing oscillator. Zbl 1235.70096
Parthasarathy, S.; Lakshmanan, M.
1990
Adaptive coupling induced multi-stable states in complex networks. Zbl 1285.34050
Chandrasekar, V. K.; Sheeba, Jane H.; Subash, B.; Lakshmanan, M.; Kurths, J.
2014
A nonlocal connection between certain linear and nonlinear ordinary differential equations: extension to coupled equations. Zbl 1314.34034
2010
On the non-integrability of a family of Duffing-van der Pol oscillators. Zbl 0822.34007
Bountis, T. C.; Drossos, L. B.; Lakshmanan, M.; Parthasarathy, S.
1993
Effect of sinusoidal excitation on the Chua’s circuit. Zbl 0825.94241
Murali, K.; Lakshmanan, M.
1992
On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations. Zbl 1186.34050
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2009
Nonintegrability of $$(2+1)$$-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis. Zbl 1160.81394
Kumar, C. Senthil; Lakshmanan, M.; Grammaticos, B.; Ramani, A.
2006
On the complete integrability of a nonlinear oscillator from group theoretical perspective. Zbl 1276.81050
Bhuvaneswari, A.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2012
Lie symmetries and invariant solutions of the shallow-water equation. Zbl 0864.76018
Velan, M. Senthil; Lakshmanan, M.
1996
Bright and dark optical solitons in coupled higher-order nonlinear Schrödinger equations through singularity structure analysis. Zbl 0876.35110
Radhakrishnan, R.; Lakshmanan, M.; Daniel, M.
1995
Chaotic dynamics of the driven Chua’s circuit. Zbl 0844.58061
Murali, K.; Lakshmanan, M.
1993
On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system. Zbl 1309.34007
2010
Quantal two-center Coulomb problem treated by means of the phase-integral method. I: General theory. Zbl 1020.81050
Athavan, N.; Fröman, P. O.; Fröman, N.; Lakshmanan, M.
2001
Direct integration of generalized Lie symmetries of nonlinear Hamiltonian systems with two degrees of freedom: Integrability and separability. Zbl 0760.35050
Lakshmanan, M.; Senthil Velan, M.
1992
Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters. Zbl 1186.37088
Rajendran, S.; Muruganandam, P.; Lakshmanan, M.
2010
On the complete integrability and linearization of nonlinear ordinary differential equations. IV. Coupled second-order equations. Zbl 1186.34049
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2009
Route to logical strange nonchaotic attractors with single periodic force and noise. Zbl 1451.34077
Sathish Aravindh, M.; Venkatesan, A.; Lakshmanan, M.
2020
On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation. Zbl 1404.35422
Vishnu Priya, N.; Senthilvelan, M.; Rangarajan, Govindan; Lakshmanan, M.
2019
Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system. Zbl 1432.37092
Stalin, S.; Senthilvelan, M.; Lakshmanan, M.
2019
Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions. Zbl 1439.35447
Stalin, S.; Senthilvelan, M.; Lakshmanan, M.
2019
Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation. Zbl 1427.35004
Sakkaravarthi, K.; Johnpillai, A. G.; Devi, A. Durga; Kanna, T.; Lakshmanan, M.
2018
Stable amplitude Chimera states in a network of locally coupled Stuart-Landau oscillators. Zbl 1390.34148
Premalatha, K.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2018
Non-minimally coupled scalar field in Kantowski-Sachs model and symmetry analysis. Zbl 1390.83446
Dutta, Sourav; Lakshmanan, Muthusamy; Chakraborty, Subenoy
2018
Nonstandard bilinearization of $$\mathcal{PT}$$-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions. Zbl 1378.35074
Stalin, S.; Senthilvelan, M.; Lakshmanan, M.
2017
Discontinuity induced Hopf and Neimark-Sacker bifurcations in a memristive Murali-Lakshmanan-Chua circuit. Zbl 1370.34080
Ahamed, A. Ishaq; Lakshmanan, M.
2017
Design and implementation of dynamic logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit. Zbl 1391.94952
Venkatesh, P. R.; Venkatesan, A.; Lakshmanan, M.
2017
Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator. Zbl 1373.81201
Karthiga, S.; Chithiika Ruby, V.; Senthilvelan, M.; Lakshmanan, M.
2017
Implementation of dynamic dual input multiple output logic gate via resonance in globally coupled Duffing oscillators. Zbl 1390.34157
Venkatesh, P. R.; Venkatesan, A.; Lakshmanan, M.
2017
The inverse problem of a mixed Liénard-type nonlinear oscillator equation from symmetry perspective. Zbl 1358.70022
Tiwari, Ajey K.; Pandey, S. N.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2016
Integrable $$(2 + 1)$$-dimensional spin models with self-consistent potentials. Zbl 1376.82108
Myrzakulov, Ratbay; Mamyrbekova, Galya; Nugmanova, Gulgassyl; Lakshmanan, Muthusamy
2015
Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators. Zbl 1308.81074
Chithiika Ruby, V.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2015
Interconnections between various analytic approaches applicable to third-order nonlinear differential equations. Zbl 1371.34046
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2015
Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second-order differential equations. Zbl 1359.34004
Mohanasubha, R.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2014
Adaptive coupling induced multi-stable states in complex networks. Zbl 1285.34050
Chandrasekar, V. K.; Sheeba, Jane H.; Subash, B.; Lakshmanan, M.; Kurths, J.
2014
Integrable motion of curves in self-consistent potentials: relation to spin systems and soliton equations. Zbl 1331.35297
Myrzakulov, R.; Mamyrbekova, G. K.; Nugmanova, G. N.; Yesmakhanova, K. R.; Lakshmanan, M.
2014
Erratum: “Classification of Lie point symmetries for quadratic Liénard type equation $$\ddot{x}+f(x)\dot{x}^2+g(x)=0$$”. Zbl 1318.34052
Tiwari, Ajey K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2014
Intrinsic localized modes of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. Zbl 1331.82068
Lakshmanan, M.; Subash, B.; Saxena, Avadh
2014
Dynamic environment coupling induced synchronized states in coupled time-delayed electronic circuits. Zbl 1296.34166
Suresh, R.; Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J.
2014
Classification of Lie point symmetries for quadratic Liénard type equation $$\ddot{x}+f(x)\dot{x}^2+g(x)=0$$. Zbl 1295.34049
Tiwari, Ajey K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2013
Nonsmooth bifurcations, transient hyperchaos and hyperchaotic beats in a memristive Murali-Lakshmanan-Chua circuit. Zbl 1272.34058
Ahamed, A. Ishaq; Lakshmanan, M.
2013
Applicability of 0-1 test for strange nonchaotic attractors. Zbl 1331.37041
Gopal, R.; Venkatesan, A.; Lakshmanan, M.
2013
A nonlocal connection between certain linear and nonlinear ordinary differential equations. II: Complex nonlinear oscillators. Zbl 1334.34085
Mohanasubha, R.; Sheeba, Jane H.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2013
Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator. Zbl 1252.81055
Ruby, V. Chithiika; Senthilvelan, M.; Lakshmanan, M.
2012
On the complete integrability of a nonlinear oscillator from group theoretical perspective. Zbl 1276.81050
Bhuvaneswari, A.; Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2012
A class of solvable coupled nonlinear oscillators with amplitude independent frequencies. Zbl 1266.34060
Chandrasekar, V. K.; Sheeba, Jane H.; Pradeep, R. Gladwin; Divyasree, R. S.; Lakshmanan, M.
2012
Global and partial phase synchronizations in arrays of piecewise linear time-delay systems. Zbl 1270.34153
Suresh, R.; Senthilkumar, D. V.; Lakshmanan, M.; Kurths, J.
2012
A systematic method of finding linearizing transformations for nonlinear ordinary differential equations. I: Scalar case. Zbl 1255.34038
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2012
A systematic method of finding linearizing transformations for nonlinear ordinary differential equations. II: Extension to coupled ODEs. Zbl 1255.34039
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2012
Exact solutions of coupled Liénard-type nonlinear systems using factorization technique. Zbl 1274.34021
2012
Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua’s circuits without delay. Zbl 1331.34061
Srinivasan, K.; Senthilkumar, D. V.; Raja Mohamed, I.; Murali, K.; Lakshmanan, M.; Kurths, J.
2012
The fascinating world of the Landau-Lifshitz-Gilbert equation: an overview. Zbl 1219.82139
Lakshmanan, M.
2011
Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity. Zbl 1317.34111
Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J.
2011
Observation of chaotic beats in a driven memristive Chua’s circuit. Zbl 1215.34051
Ahamed, A. Ishaq; Srinivasan, K.; Murali, K.; Lakshmanan, M.
2011
Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions. Zbl 1314.35171
Rajendran, S.; Lakshmanan, M.; Muruganandam, P.
2011
Design of time delayed chaotic circuit with threshold controller. Zbl 1215.34103
Srinivasan, K.; Mohamed, I. Raja; Murali, K.; Lakshmanan, M.; Sinha, Sudeshna
2011
Nonlocal symmetries of a class of scalar and coupled nonlinear ordinary differential equations of any order. Zbl 1236.34044
2011
Dynamics of nonlinear time-delay systems. Zbl 1230.37001
Lakshmanan, Muthusamy; Senthilkumar, Dharmapuri Vijayan
2010
Coherently coupled bright optical solitons and their collisions. Zbl 1202.35300
Kanna, T.; Vijayajayanthi, M.; Lakshmanan, M.
2010
Motion of space curves in three-dimensional Minkowski space $$R^3_1$$, SO(2,1) spin equation and defocusing nonlinear Schrödinger equation. Zbl 1202.53009
Muniraja, Gopal; Lakshmanan, M.
2010
A nonlocal connection between certain linear and nonlinear ordinary differential equations: extension to coupled equations. Zbl 1314.34034
2010
On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system. Zbl 1309.34007
2010
Bright and dark solitons in a quasi-1D Bose-Einstein condensates modelled by 1D Gross-Pitaevskii equation with time-dependent parameters. Zbl 1186.37088
Rajendran, S.; Muruganandam, P.; Lakshmanan, M.
2010
Recursive generation of isochronous Hamiltonian systems. Zbl 1213.37085
Chandrasekar, V. K.; Devi, A. Durga; Lakshmanan, M.
2010
Mass synchronization: Occurrence and its control with possible applications to brain dynamics. Zbl 1311.92016
Chandrasekar, V. K.; Sheeba, Jane H.; Lakshmanan, M.
2010
A group theoretical identification of integrable equations in the Liénard-type equation $$\ddot x+f(x)\dot x+g(x) = 0$$. II: Equations having maximal Lie point symmetries. Zbl 1283.34036
Pandey, S. N.; Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M.
2009
Nonstandard conserved Hamiltonian structures in dissipative/damped systems: nonlinear generalizations of damped harmonic oscillator. Zbl 1187.34046
2009
A group theoretical identification of integrable cases of the Li’enard-type equation $$\ddot x +f(x)\dot x +g(x)=0$$. I: Equations having nonmaximal number of Lie point symmetries. Zbl 1328.34031
Pandey, S. N.; Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M.
2009
Trilinearization and localized coherent structures and periodic solutions for the $$(2 + 1)$$ dimensional K-dV and NNV equations. Zbl 1197.35236
Kumar, C. Senthil; Radha, R.; Lakshmanan, M.
2009
Inverse synchronizations in coupled time-delay systems with inhibitory coupling. Zbl 1309.34105
Senthilkumar, D. V.; Kurths, J.; Lakshmanan, M.
2009
Higher dimensional bright solitons and their collisions in a multicomponent long wave-short wave system. Zbl 1188.37071
Kanna, T.; Vijayajayanthi, M.; Sakkaravarthi, K.; Lakshmanan, M.
2009
The collision of multimode dromions and a firewall in the two-component long-wave-short-wave resonance interaction equation. Zbl 1163.35037
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Gilson, C. R.
2009
Dynamics of a completely integrable $$N$$ coupled Liénard-type nonlinear oscillator. Zbl 1182.70025
2009
On the complete integrability and linearization of nonlinear ordinary differential equations. V. Linearization of coupled second-order equations. Zbl 1186.34050
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2009
On the complete integrability and linearization of nonlinear ordinary differential equations. IV. Coupled second-order equations. Zbl 1186.34049
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2009
Painlevé singularity structure analysis of three component Gross-Pitaevskii type equations. Zbl 1304.35645
Kanna, T.; Sakkaravarthi, K.; Kumar, C. Senthil; Lakshmanan, M.; Wadati, M.
2009
On the complete integrability and linearization of nonlinear ordinary differential equations. III. Coupled first-order equations. Zbl 1186.34048
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2009
Dynamic and static excitations of a classical discrete anisotropic Heisenberg ferromagnetic spin chain. Zbl 1143.35379
2008
Reply to ‘Comment on “On the general solution for the modified Emden type equation $$\ddot{x}+\alpha x\dot x+\beta x^3=0$$” ’. Zbl 1137.34301
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2008
Integrable nonlinear wave equations and possible connections to tsunami dynamics. Zbl 1310.76044
Lakshmanan, M.
2007
On the general solution for the modified Emden-type equation $$\ddot x+\alpha x\dot x+\beta x^3=0$$. Zbl 1128.34003
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2007
On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator. Zbl 1137.70344
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2007
Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag and complete synchronizations in time-delay nonlinear dynamical systems. Zbl 1159.37392
Senthilkumar, D. V.; Lakshmanan, M.
2007
Nonstationary excitations in Bose-Einstein condensates under the action of periodically varying scattering length with time dependent frequencies. Zbl 1110.82028
Rajendran, S.; Muruganandam, P.; Lakshmanan, M.
2007
Controlled parameter modulations in secure digital signal transmissions. Zbl 1152.94350
Palaniyandi, P.; Lakshmanan, M.
2007
Localized coherent structures of Ishimori equation I through Hirota’s bilinearization method: Time dependent/stationary boundaries. Zbl 1152.35498
Vijayalakshmi, S.; Lakshmanan, M.
2007
Dynamical echo in two-state quantum systems. Zbl 1132.81358
Sankaranarayanan, R.; Sheeba, Jane H.; Lakshmanan, M.
2007
A simple and unified approach to identify integrable nonlinear oscillators and systems. Zbl 1111.34003
Chandrasekar, V. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2006
A nonlocal connection between certain linear and nonlinear ordinary differential equations/ oscillators. Zbl 1107.34003
Chandrasekar, V. K.; Senthilvelan, M.; Kundu, Anjan; Lakshmanan, M.
2006
A unification in the theory of linearization of second-order nonlinear ordinary differential equations. Zbl 1146.34312
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2006
On the complete integrability and linearization of nonlinear ordinary differential equations. II: Third-order equations. Zbl 1149.34319
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2006
Nonintegrability of $$(2+1)$$-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis. Zbl 1160.81394
Kumar, C. Senthil; Lakshmanan, M.; Grammaticos, B.; Ramani, A.
2006
On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations. Zbl 1186.34046
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2005
Periodic and localized solutions of the long wave-short wave resonance interaction equation. Zbl 1085.37052
Radha, R.; Kumar, C. Senthil; Lakshmanan, M.; Tang, X. Y.; Lou, S. Y.
2005
Extended Prelle-Singer method and integrability/solvability of a class of nonlinear $$n$$th order ordinary differential equations. Zbl 1362.34002
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2005
Application of extended Prelle–Singer procedure to the generalized modified Emden type equation. Zbl 1086.34500
Chandrasekar, V. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M.
2005
Bifurcations and chaos in time delayed piecewise linear dynamical systems. Zbl 1093.34566
Senthilkumar, D. V.; Lakshmanan, M.
2005
Nonlinear dynamics of moving curves and surfaces: applications to physical systems. Zbl 1073.37082
Murugesh, S.; Lakshmanan, M.
2005
Strong chaos in a forced negative conductance series LCR circuit. Zbl 1081.94560
Thamilmaran, K.; Senthilkumar, D. V.; Lakshmanan, M.; Ishaq Ahamed, A.
2005
Equatorial and related non-equilibrium states in magnetization dynamics of ferromagnets: generalization of Suhl’s spin-wave instabilities. Zbl 1125.82328
Kosaka, C.; Nakamura, K.; Murugesh, S.; Lakshmanan, M.
2005
Estimation of system parameters and predicting the flow function from time series of continuous dynamical systems. Zbl 1136.37360
Palaniyandi, P.; Lakshmanan, M.
2005
Hyperchaos in a modified canonical Chua’s circuit. Zbl 1067.94597
Thamilmaran, K.; Lakshmanan, M.; Venkatesan, A.
2004
New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems. Zbl 1069.34055
Chandrasekar, V. K.; Senthilvelan, M.; Lakshmanan, M.
2004
Exponentially localized solutions of Mel’nikov equation. Zbl 1112.35139
Senthil Kumar, C.; Radha, R.; Lakshmanan, M.
2004
On the integrability, Bäcklund transformation and symmetry aspects of a generalized Fisher type nonlinear reaction-diffusion equation. Zbl 1061.35037
Bindu, P. S.; Lakshmanan, M.; Senthilvelan, M.
2004
Nonlinear dynamics. Integrability, chaos and patterns. Zbl 1038.37001
Lakshmanan, M.; Rajasekar, S.
2003
Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems. Zbl 1073.37038
Venkatesan, A.; Parthasarathy, S.; Lakshmanan, M.
2003
Analytical calculation of nonadiabatic transition probabilities from the monodromy of differential equations. Zbl 1040.81102
Kato, T.; Nakamura, K.; Lakshmanan, M.
2003
Classification of bifurcations and routes to chaos in a variant of Murali-Lakshmanan-Chua circuit. Zbl 1044.37028
Thamilmaran, K.; Lakshmanan, M.
2002
Nonlinear systems. Proceedings of the 8th Ramanujan symposium on recent developments in nonlinear systems, University of Madras, Chennai, India, February 14–16, 2001. Zbl 1044.37001
2002
Quantal two-center Coulomb problem treated by means of the phase-integral method. I: General theory. Zbl 1020.81050
Athavan, N.; Fröman, P. O.; Fröman, N.; Lakshmanan, M.
2001
Quantal two-center Coulomb problem treated by means of the phase-integral method. II: Quantization conditions in the symmetric case expressedin terms of complete elliptic integrals. Numerical illustration. Zbl 1021.81072
Athavan, N.; Lakshmanan, M.; Fröman, N.
2001
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. Zbl 1023.81046
Athavan, N.; Lakshmanan, M.; Fröman, N.
2001
Singularity structure, symmetries and integrability of generalized Fisher-type nonlinear diffusion equation. Zbl 0992.35077
Bindu, P. S.; Senthilvelan, M.; Lakshmanan, M.
2001
Shape-changing collisions of coupled bright solitons in birefringent optical fibers. Zbl 1049.78015
Lakshmanan, M.; Kanna, T.; Radhakrishnan, R.
2000
Spatio-temporal patterns in arrays of coupled nonlinear electronic circuits. Zbl 0991.34036
Lakshmanan, M.; Muruganandam, P.
2000
Birth of strange nonchaotic attractors through type III intermittency. Zbl 0935.37007
Venkatesan, A.; Murali, K.; Lakshmanan, M.
1999
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#### Cited in 189 Serials

 139 Journal of Mathematical Physics 137 Chaos, Solitons and Fractals 109 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 68 Nonlinear Dynamics 58 Chaos 51 Communications in Nonlinear Science and Numerical Simulation 44 Physics Letters. A 40 Applied Mathematics and Computation 33 Journal of Nonlinear Mathematical Physics 25 Journal of Mathematical Analysis and Applications 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Theoretical and Mathematical Physics 16 Nonlinear Analysis. Real World Applications 15 International Journal of Geometric Methods in Modern Physics 14 Physica D 14 Applied Mathematics Letters 13 International Journal of Modern Physics B 11 Mathematical Problems in Engineering 11 Abstract and Applied Analysis 10 Computers & Mathematics with Applications 8 Applicable Analysis 8 International Journal of Theoretical Physics 8 Studies in Applied Mathematics 8 Journal of Nonlinear Science 8 Advances in Mathematical Physics 7 Journal of the Franklin Institute 7 Mathematical Methods in the Applied Sciences 7 Mathematics and Computers in Simulation 7 Applied Mathematical Modelling 7 Complexity 7 Journal of Applied Mathematics 6 Journal of Engineering Mathematics 6 Journal of Computational and Applied Mathematics 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Physica A 5 Journal of Geometry and Physics 5 Discrete Dynamics in Nature and Society 5 International Journal of Applied and Computational Mathematics 4 Modern Physics Letters A 4 Computer Physics Communications 4 Letters in Mathematical Physics 4 Mathematical Biosciences 4 Wave Motion 4 Journal of Differential Equations 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical and Computer Modelling 4 International Journal of Computer Mathematics 4 Journal of Mathematical Chemistry 4 Qualitative Theory of Dynamical Systems 4 International Journal of Modern Physics C 4 Discrete and Continuous Dynamical Systems. Series S 4 Communications in Theoretical Physics 4 Analysis and Mathematical Physics 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Modern Physics Letters B 3 Reports on Mathematical Physics 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Regular and Chaotic Dynamics 3 Acta Mathematica Sinica. English Series 3 Physical Review Letters 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Advances in Difference Equations 3 Foundations of Physics 3 Journal of Nonlinear Dynamics 2 Acta Mechanica 2 Communications in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Journal of Statistical Physics 2 Nonlinearity 2 Reviews in Mathematical Physics 2 International Journal of Circuit Theory and Applications 2 International Journal for Numerical Methods in Engineering 2 Kybernetika 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Circuits, Systems, and Signal Processing 2 Science in China. Series A 2 International Journal of Mathematics 2 Annals of Physics 2 Turkish Journal of Mathematics 2 Engineering Analysis with Boundary Elements 2 Journal of High Energy Physics 2 Journal of Modern Optics 2 Advances in Complex Systems 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Differential Equations 2 Journal of Applied Analysis and Computation 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 Earth, Moon, and Planets ...and 89 more Serials
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#### Cited in 45 Fields

 513 Dynamical systems and ergodic theory (37-XX) 498 Partial differential equations (35-XX) 448 Ordinary differential equations (34-XX) 152 Systems theory; control (93-XX) 111 Mechanics of particles and systems (70-XX) 96 Quantum theory (81-XX) 92 Information and communication theory, circuits (94-XX) 80 Biology and other natural sciences (92-XX) 67 Statistical mechanics, structure of matter (82-XX) 61 Numerical analysis (65-XX) 56 Fluid mechanics (76-XX) 42 Optics, electromagnetic theory (78-XX) 36 Differential geometry (53-XX) 27 Global analysis, analysis on manifolds (58-XX) 22 Computer science (68-XX) 17 Difference and functional equations (39-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Special functions (33-XX) 13 Nonassociative rings and algebras (17-XX) 11 Real functions (26-XX) 11 Relativity and gravitational theory (83-XX) 10 Mechanics of deformable solids (74-XX) 8 Probability theory and stochastic processes (60-XX) 8 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Topological groups, Lie groups (22-XX) 5 Integral equations (45-XX) 4 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Manifolds and cell complexes (57-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

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