Nonlinear Dynamics of a position-dependent mass driven Duffing-type oscillator
Mathematical Physics
2015-06-12 v2 math.MP
Abstract
We examine some nontrivial consequences that emerge from interpreting a position-dependent mass (PDM) driven Duffing oscillator in the presence of a quartic potential. The propagation dynamics is studied numerically and sensi- tivity to the PDM-index is noted. Remarkable transitions from a limit cycle to chaos through period doubling and from a chaotic to a regular motion through intermediate periodic and chaotic routes are demonstrated.
Cite
@article{arxiv.1212.3159,
title = {Nonlinear Dynamics of a position-dependent mass driven Duffing-type oscillator},
author = {Bijan Bagchi and Supratim Das and Samiran Ghosh and Swarup Poria},
journal= {arXiv preprint arXiv:1212.3159},
year = {2015}
}