Resonance bands in a two degree of freedom Hamiltonian system

DOI10.1016/0167-2789(86)90043-6zbMath0596.70026OpenAlexW2046166753MaRDI QIDQ1079035

Peter Veerman, Philip J. Holmes

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90043-6

zbMATH Keywords

systemsMelnikov methodnumerical computationslinearly coupled simple pendulaperturbations of integrable two degree of freedom Hamiltonianperturbations of integrable two degree of freedom Hamiltonian systemszones of instability

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Regular and stochastic motion
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• A solvable model for gravity driven granular dynamics
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