9 citations · 22 across the 9 of their papers we have counts for
9 papers
Emergence of the Gambier equation in cosmology
D. Batic, P. Guha, A. Ghose Choudhury
We show how the Gambier equation arises in connection to Friedmann-Lema$\mbox{î}$tre-Robertson-Walker (FLRW) cosmology and a Dark Matter equation of state. Moreover, we provide a c…
Quadratically damped oscillators with non-linear restoring force
Ankan Pandey, A Ghose Choudhury, Partha Guha
In this paper we qualitatively analyse quadratically damped oscillators with non-linear restoring force. In particular, we obtain Hamiltonian structure and analytical form of the e…
Monotonicity of the period function of the Liénard equation of second kind
A Ghose-Choudhury, Partha Guha
This paper is concerned with the monotonicity of the period function for closed orbits of systems of the Liénard II type equation given by .…
An analytic technique for the solutions of nonlinear oscillators with damping using the Abel Equation
A Ghose-Choudhury, Partha Guha
Using the Chiellini condition for integrability we derive explicit solutions for a generalized system of Riccati equations by reduction to th…
Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation
A. Ghose Choudhury, Partha Guha
Using a novel transformation involving the Jacobi Last Multiplier (JLM) we derive an old integrability criterion due to Chiellini for the Liénard equation. By combining the Chielli…
Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism
José F. Cariñena, Héctor Figueroa, Partha Guha
We consider Feynman-Dyson's proof of Maxwell's equations using the Jacobi identities on the velocity phase space. In this paper we generalize the Feynman-Dyson's scheme by incorpor…