Nonlinear analysis of a classical double oscillator model
Classical Physics
2021-08-26 v2 Chaotic Dynamics
Abstract
A classical double oscillator model, that includes in certain parameter limits, the standard harmonic oscillator and the inverse oscillator, is interpreted as a dynamical system. We study its essential features and make a qualitative analysis of orbits around the equilibrium points, period-doubling bifurcation, time series curves, surfaces of section and Poincare maps. An interesting outcome of our findings is the emergence of chaotic behavior when the system is confronted with a periodic force term like fcos{\omega}t.
Cite
@article{arxiv.2103.09797,
title = {Nonlinear analysis of a classical double oscillator model},
author = {Bijan Bagchi and Dibyendu Ghosh and Lal Mohan Saha},
journal= {arXiv preprint arXiv:2103.09797},
year = {2021}
}
Comments
12 pages and 7 figures