17 citations · 42 across the 11 of their papers we have counts for
11 papers
Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit
G. Sivaganesh, K. Srinivasan, T. Fonzin Fozin +1
The observation of hysteresis in the dynamics of a third-order autonomous chaotic system namely, the {\it{Chua's}} circuit has been reported recently \cite{Gomes2023}. In the prese…
Two-dimensional isochronous nonstandard Hamiltonian systems
A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar +1
We identify a generic class of two dimensional nonstandard Hamiltonian systems which exhibit isochronous behaviour. This class of systems belongs to the two dimensional mixed Liéna…
Different Types of Synchronization in Coupled Network Based Chaotic Circuits
K. Srinivasan, V. K Chandrasekar, R. Gladwin Pradeep +2
We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the su…
Order preserving contact transformations and dynamical symmetries of scalar and coupled Riccati and Abel chains
R. Gladwin Pradeep, V. K. Chandrasekar, R. Mohanasubha +2
We identify contact transformations which linearize the given equations in the Riccati and Abel chains of nonlinear scalar and coupled ordinary differential equations to the same o…
A class of solvable coupled nonlinear oscillators with amplitude independent frequencies
V. K. Chandrasekar, Jane H. Sheeba, R. Gladwin Pradeep +2
Existence of amplitude independent frequencies of oscillation is an unusual property for a nonlinear oscillator. We find that a class of N coupled nonlinear Liénard type oscillator…
Exact solutions of coupled Liénard-type nonlinear systems using factorization technique
Tamaghna Hazra, V. K. Chandrasekar, R. Gladwin Pradeep +1
General solutions of nonlinear ordinary differential equations (ODEs) are in general difficult to find although powerful integrability techniques exist in the literature for this p…
Nonlocal symmetries of a class of scalar and coupled nonlinear ordinary differential equations of any order
R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan +1
In this paper we devise a systematic procedure to obtain nonlocal symmetries of a class of scalar nonlinear ordinary differential equations (ODEs) of arbitrary order related to lin…
A nonlocal connection between certain linear and nonlinear ordinary differential equations : Extension to coupled equations
R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan +1
Identifying integrable coupled nonlinear ordinary differential equations (ODEs) of dissipative type and deducing their general solutions are some of the challenging tasks in nonlin…
On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system
R. Gladwin Pradeep, V. K. Chandrasekar, M. Senthilvelan +1
In this paper, we consider a second order nonlinear ordinary differential equation of the form , where …
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…