Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom

DOI10.1007/BF01961239zbMath0489.58013OpenAlexW2094946578MaRDI QIDQ1166811

Philip J. Holmes, Jerrold E. Marsden

Publication date: 1982

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01961239

zbMATH Keywords

Melnikov theory Hamiltonian and non-Hamiltonian perturbations of integrable two degree of freedom Hamiltonian systems which contain homoclinic and periodic orbits introducing horseshoes into the dynamics system consisting of the simple pendulum and the harmonic oscillator

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Dynamical systems with hyperbolic behavior (37D99)

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