Dynamics of the Morse Oscillator: Analytical Expressions for Trajectories, Action-Angle Variables, and Chaotic Dynamics

DOI10.1142/S0218127419501578zbMath1433.37062arXiv1905.04059OpenAlexW3124602573WikidataQ127017532 ScholiaQ127017532MaRDI QIDQ5237522

Vladimír Krajňák, Stephen Wiggins

Publication date: 18 October 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04059

zbMATH Keywords

chaoshomoclinic orbitMelnikov functionaction-angle variablesMorse oscillator

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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• Dynamical behavior of the driven Morse oscillator
• The KAM Story

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