47 citations · 55 across the 2 of their papers we have counts for
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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 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…
On the general solution for the modified Emden type equation
V K Chandrasekar, M Senthilvelan, M Lakshmanan
In this paper, we demonstrate that the modified Emden type equation (MEE), , is integrable either explicitly or by quadrature for any value of and $β…
A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators
V. K. Chandrasekar, M. Senthilvelan, Anjan Kundu +1
We explore a nonlocal connection between certain linear and nonlinear ordinary differential equations (ODEs), representing physically important oscillator systems, and identify a c…