Concerning the paper Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom by P. J. Holmes and J. E. Marsden

DOI10.1007/BF01212323zbMath0619.58020MaRDI QIDQ1089653

S. L. Ziglin

Publication date: 1987

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

zbMATH Keywords

Melnikov theoryHamiltonian and non-Hamiltonian perturbations of integrable two degree of freedom Hamiltonian systems which contain homoclinic and periodic orbitsintroducing horseshoes into the dynamicssystem 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)

Related Items (1)

Non-integrability of the 4-vortex system: Analytical proof

Cites Work

• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Unnamed Item

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