Nonlinear Dynamics of a position-dependent mass driven Duffing-type oscillator

TL;DR

This paper investigates the complex behavior of a position-dependent mass driven Duffing oscillator with a quartic potential, revealing transitions between regular and chaotic dynamics through numerical analysis.

Contribution

It introduces a novel analysis of a PDM-driven Duffing oscillator, highlighting how the PDM-index influences the transition to chaos and regular motion.

Findings

Transitions from limit cycle to chaos via period doubling

Chaotic to regular motion through intermediate routes

Sensitivity of dynamics to PDM-index variations

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.