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

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.

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Cited by in corpus (7)

• Generating Finite Dimensional Integrable Nonlinear Dynamical Systems
• A Quantum Quasi-Harmonic Nonlinear Oscillator with an Isotonic Term
• On the nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator: Lagrange and Newton equations' equivalence
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• Position-dependent mass systems: Classical and quantum pictures
• $n$-dimensional PDM-damped harmonic oscillators: Linearizability, and exact solvability
• Qualitative analysis of certain generalized classes of quadratic oscillator systems