195 citations · 1.8k across the 115 of their papers we have counts for
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Routes to synchrony between asymmetrically interacting oscillator ensembles
Jane H. Sheeba, V. K. Chandrasekar, Aneta Stefanovska +1
We report that asymmetrically interacting ensembles of oscillators (AIEOs) follow novel routes to synchrony. These routes seem to be a characteristic feature of coupling asymmetry.…
Dynamics of a Completely Integrable -Coupled Liénard Type Nonlinear Oscillator
R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan +1
We present a system of -coupled Liénard type nonlinear oscillators which is completely integrable and possesses explicit time-independent and time-dependent integrals. I…
Non-standard conserved Hamiltonian structures in dissipative/damped systems : Nonlinear generalizations of damped harmonic oscillator
R Gladwin Pradeep, V K Chandrasekar, M Senthilvelan +1
In this paper we point out the existence of a remarkable nonlocal transformation between the damped harmonic oscillator and a modified Emden type nonlinear oscillator equation with…
On the complete integrability and linearization of nonlinear ordinary differential equations - Part V: Linearization of coupled second order equations
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
Linearization of coupled second order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In thi…
On the complete integrability and linearization of nonlinear ordinary differential equations - Part IV: Coupled second order equations
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
Coupled second order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordin…
On the complete integrability and linearization of nonlinear ordinary differential equations - Part III: Coupled first order equations
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
Continuing our study on the complete integrability of nonlinear ordinary differential equations, in this paper we consider the integrability of a system of coupled first order nonl…