Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass

DOI10.1016/j.aop.2014.11.009zbMath1343.34088OpenAlexW2047622516MaRDI QIDQ307137

Barnana Roy, Dibakar Ghosh

Publication date: 1 September 2016

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2014.11.009

zbMATH Keywords

chaosbifurcationnonlinear oscillatorposition dependent mass

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (8)

Parametric vibrational resonance in a gyroscope driven by dual-frequency forces ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Poisson–Hopf algebra deformations of Lie–Hamilton systems ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Qualitative analysis of certain generalized classes of quadratic oscillator systems ⋮ Another New Chaotic System: Bifurcation and Chaos Control ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Coherent states for nonlinear harmonic oscillator and some of its properties

Uses Software

• Dynamics

Cites Work

• Unnamed Item
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• Quantum signatures of chaos. With a foreword by H. Haken
• On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
• Quantitative universality for a class of nonlinear transformations
• Comment on ‘Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator’
• On a unique nonlinear oscillator
• Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator
• Quantization of the Liénard II equation and Jacobi’s last multiplier

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