14 citations · 31 across the 14 of their papers we have counts for
15 papers
Accessing Levinson-Smith and Liénard equations in a nonlinear framework of quantum mechanics
Bijan Bagchi, Anindya Ghose-Choudhury
In this paper, we present the reduction of a recently introduced generalized quantum scheme of Chodos and Cooper to Levinson-Smith and Liénard classes of nonlinear system that enab…
Quasi-harmonic spectra from branched Hamiltonians
Aritra Ghosh, Bijan Bagchi, A. Ghose-Choudhury +2
We revisit the canonical quantization to assess the spectrum of the modified Emden equation , which is an isochronous case of t…
Generalized Liénard systems and isochronous connections
Bijan Bagchi, A. Ghose-Choudhury, Aritra Ghosh +1
In this paper, we explore some classical and quantum aspects of the nonlinear Liénard equation , where is a real variable…
On the construction of almost general solutions for PDEs arising in nonlinear optics
A Ghose-Choudhury, Sudip Garai
In this communication we consider the widely used nonlinear Fokas-Lenells equation, the cubic focussing nonlinear Schrödinger equation in (2+1)-dimensions and the coupled Drinfel'd…
Construction of the classical time crystal Lagrangians from Sisyphus dynamics and duality description with the Liénard type equation
Partha Guha, A Ghose-Choudhury
We explore the connection between the equations describing Sisyphus dynamics and the generic Liénard type or Liénard equation from the viewpoint of branched Hamiltonians. The forme…
On Coupled Delayed Van der Pol-Duffing oscillators
Ankan Pandey, Mainak Mitra, A Ghose-Choudhury +1
We investigate the dynamics of a delay differential coupled Duffing-Van der Pol oscillator equation. Using the Lindstedt's method, we derive the in-phase mode solutions and then ob…
Reduction and Hamiltonian aspects of a model for virus-tumour interaction in oncolytic virotherapy
Anindya Ghose-Choudhury, Partha Guha
We analyse the Hamiltonian structure of a system of first-order ordinary differential equations used for modeling the interaction of an oncolytic virus with a tumour cell populatio…
On a geometric description of time dependent singular Lagrangians with applications to biological systems
Sudip Garai, A Ghose-Choudhury, Partha Guha
We consider certain analytical features of a stochastic model that can explain among other things competition among species and simultaneous predation on the competing species from…
On purely nonlinear oscillators generalizing an isotonic potential
A. Ghose-Choudhury, Aritra Ghosh, Partha Guha +1
In this paper we consider a nonlinear generalization of the isotonic oscillator in the same spirit as one considers the generalization of the harmonic oscillator with a truly nonli…
Nonlocal transformations of the Generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems
Partha Guha, A Ghose-Choudhury
We employ the method of nonlocal generalized Sundman transformations to formulate the linearization problem for equations of the generalized Liénard type and show that they may be…
Superintegrable systems with position dependent mass: master symmetry and action-angle methods
A. Ghose-Choudhury, Partha Guha
We consider the issue of deriving superintegrable systems with position dependent mass (PDM) in two dimensions from certain known superintegrable systems using the recently introdu…
Jacobi-Maupertuis metric of Lienard type equations and Jacobi Last Multiplier
Sumanto Chanda, A. Ghose-Choudhury, Partha Guha
We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Lienard type, viz \ddot{x} + f(x)x^2 + g(x) = 0 using Jacobi's last multiplier. The JM metr…
Noetherian symmetries of noncentral forces with drag term
A. Ghose-Choudhury, Partha Guha, Andronikos Paliathanasis +1
We consider the Noetherian symmetries of second-order ODEs subjected to forces with nonzero curl. Both position and velocity dependent forces are considered. In the former case the…
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…