M. Lakshmanan

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 18

Top Topics

Differential Equations

Hamilton Jacobi Bellman

Order Preserving

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Int. J. Bifurc. Chaos

Appl. Math. Comput.

Publications

P. Prakash, K. S. Priyendhu, M. Lakshmanan
Nonlinear two-component system of time-fractional PDEs in (2+1)-dimensions: Invariant subspace method combined with variable transformation. Commun. Nonlinear Sci. Numer. Simul. 137 (2024)
R. Arun, M. Sathish Aravindh, A. Venkatesan, M. Lakshmanan
Reservoir computing with logistic map. CoRR (2024)
K. S. Priyendhu, P. Prakash, M. Lakshmanan
Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs. Commun. Nonlinear Sci. Numer. Simul. 122 (2023)
P. Prakash, K. S. Priyendhu, M. Lakshmanan
Invariant subspace method for (m+1)-dimensional non-linear time-fractional partial differential equations. Commun. Nonlinear Sci. Numer. Simul. 111 (2022)
P. Ashokkumar, M. Sathish Aravindh, A. Venkatesan, M. Lakshmanan
Realization of all logic gates and memory latch in the SC-CNN cell of the simple nonlinear MLC circuit. CoRR (2021)
K. Premalatha, R. Amuda, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
Impact of Nonlocal Interaction on Chimera States in Nonlocally Coupled Stuart-Landau Oscillators. Complex Syst. 30 (4) (2021)
K. Premalatha, V. K. Chandrasekar, M. Senthilvelan, R. Amuda, M. Lakshmanan
Effect of Nonisochronicity on the Chimera States in Coupled Nonlinear Oscillators. COMPLEX NETWORKS (1) (2020)
A. Ishaq Ahamed, M. Lakshmanan
Sliding Bifurcations in the Memristive Murali-Lakshmanan-Chua Circuit and the Memristive Driven Chua Oscillator. Int. J. Bifurc. Chaos 30 (14) (2020)
K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar, M. Lakshmanan
Frustration induced transient chaos, fractal and riddled basins in coupled limit cycle oscillators. Commun. Nonlinear Sci. Numer. Simul. 72 (2019)
R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan, M. Lakshmanan
Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators. Commun. Nonlinear Sci. Numer. Simul. 59 (2018)
K. Sakkaravarthi, Andrew G. Johnpillai, A. Durga Devi, T. Kanna, M. Lakshmanan
Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation. Appl. Math. Comput. 331 (2018)
K. Sathiyadevi, V. K. Chandrasekar, D. V. Senthilkumar, M. Lakshmanan
Imperfect Amplitude Mediated Chimera States in a Nonlocally Coupled Network. Frontiers Appl. Math. Stat. 4 (2018)
R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations. Commun. Nonlinear Sci. Numer. Simul. 62 (2018)
A. Ishaq Ahamed, M. Lakshmanan
Discontinuity Induced Hopf and Neimark-Sacker Bifurcations in a Memristive Murali-Lakshmanan-Chua Circuit. Int. J. Bifurc. Chaos 27 (6) (2017)
K. Srinivasan, V. K. Chandrasekar, R. Gladwin Pradeep, Krishnamurthy Murali, M. Lakshmanan
Different types of synchronization in coupled network based chaotic circuits. Commun. Nonlinear Sci. Numer. Simul. 39 (2016)
R. Gladwin Pradeep, V. K. Chandrasekar, R. Mohanasubha, M. Senthilvelan, M. Lakshmanan
Order preserving contact transformations and dynamical symmetries of scalar and coupled Riccati and Abel chains. Commun. Nonlinear Sci. Numer. Simul. 36 (2016)
M. Vijayajayanthi, T. Kanna, M. Lakshmanan, Krishnamurthy Murali
Explicit construction of single input-single output logic gates from three soliton solution of Manakov system. Commun. Nonlinear Sci. Numer. Simul. 36 (2016)
Ajey K. Tiwari, S. N. Pandey, V. K. Chandrasekar, M. Lakshmanan
Factorization technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear systems. Appl. Math. Comput. 252 (2015)
Suresh Ramachandran, K. Srinivasan, D. V. Senthilkumar, Krishnamurthy Murali, M. Lakshmanan, Jürgen Kurths
Dynamic Environment Coupling Induced Synchronized States in Coupled Time-Delayed Electronic Circuits. Int. J. Bifurc. Chaos 24 (5) (2014)
A. Ishaq Ahamed, M. Lakshmanan
Nonsmooth bifurcations, Transient Hyperchaos and hyperchaotic beats in a Memristive Murali-Lakshmanan-Chua Circuit. Int. J. Bifurc. Chaos 23 (6) (2013)
R. Mohanasubha, Jane H. Sheeba, V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
A nonlocal connection between certain linear and nonlinear ordinary differential equations - Part II: Complex nonlinear oscillators. Appl. Math. Comput. 224 (2013)
Suresh Ramachandran, D. V. Senthilkumar, M. Lakshmanan, Jürgen Kurths
Global and Partial Phase Synchronizations in Arrays of Piecewise Linear Time-Delay Systems. Int. J. Bifurc. Chaos 22 (7) (2012)
K. Srinivasan, I. Raja Mohamed, Krishnamurthy Murali, M. Lakshmanan, Sudeshna Sinha
Design of Time Delayed Chaotic Circuit with Threshold Controller. Int. J. Bifurc. Chaos 21 (3) (2011)
A. Ishaq Ahamed, K. Srinivasan, Krishnamurthy Murali, M. Lakshmanan
Observation of Chaotic Beats in a Driven Memristive Chua's Circuit. Int. J. Bifurc. Chaos 21 (3) (2011)
K. Srinivasan, D. V. Senthilkumar, Suresh Ramachandran, Kathamuthu Thamilmaran, M. Lakshmanan
Experimental Realization of Strange Nonchaotic attractors in a Nonlinear Series LCR Circuit with Nonsinusoidal Force. Int. J. Bifurc. Chaos 19 (12) (2009)
P. Palaniyandi, M. Lakshmanan
Controlled Parameter Modulations in Secure Digital Signal Transmissions. Int. J. Bifurc. Chaos 17 (11) (2007)
S. Murugesh, M. Lakshmanan
Nonlinear Dynamics of Moving Curves and Surfaces: Applications to Physical Systems. Int. J. Bifurc. Chaos 15 (1) (2005)
Kathamuthu Thamilmaran, D. V. Senthilkumar, M. Lakshmanan, A. Ishaq Ahamed
Strong Chaos in a Forced Negative Conductance Series LCR Circuit. Int. J. Bifurc. Chaos 15 (2) (2005)
D. V. Senthilkumar, M. Lakshmanan
Bifurcations and Chaos in Time Delayed Piecewise Linear Dynamical Systems. Int. J. Bifurc. Chaos 15 (9) (2005)
P. S. Bindu, M. Lakshmanan, M. Senthilvelan
On the Integrability, BÄcklund Transformation and Symmetry Aspects of a Generalized Fisher Type Nonlinear Reaction-diffusion equation. Int. J. Bifurc. Chaos 14 (5) (2004)
Kathamuthu Thamilmaran, M. Lakshmanan, A. Venkatesan
Hyperchaos in a Modified Canonical Chua's Circuit. Int. J. Bifurc. Chaos 14 (1) (2004)
Kathamuthu Thamilmaran, M. Lakshmanan
Classification of bifurcations and Routes to Chaos in a Variant of Murali-lakshmanan-chua Circuit. Int. J. Bifurc. Chaos 12 (4) (2002)
P. Palaniyandi, M. Lakshmanan
Secure Digital Signal Transmission by multistep parameter Modulation and Alternative Driving of Transmitter Variables. Int. J. Bifurc. Chaos 11 (7) (2001)
Kathamuthu Thamilmaran, M. Lakshmanan, Krishnamurthy Murali
Rich Variety of bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit. Int. J. Bifurc. Chaos 10 (7) (2000)
Krishnamurthy Murali, M. Lakshmanan
Controlling of Chaos in the Driven Chua's Circuit. J. Circuits Syst. Comput. 3 (1) (1993)