Dynamical Ordering of Non-Birkhoff Periodic Orbits in a Forced Pendulum

DOI10.1143/PTP.106.1097zbMath1018.37024OpenAlexW2102926679MaRDI QIDQ4806881

Yoshihiro Yamaguchi, Kiyotaka Tanikawa

Publication date: 14 July 2003

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/ptp.106.1097

zbMATH Keywords

non-integrabilitytwist mappingsdynamical orderingforced pendulumsnon-Birkhoff periodic orbits

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Periodic orbits of vector fields and flows (37C27) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Dynamical aspects of twist maps (37E40)

Related Items (2)

Dynamical ordering of symmetric non-Birkhoff periodic points in reversible monotone twist mappings ⋮ Reversible maps in two-degrees of freedom Hamiltonian systems

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