Remarks on the existence and the non-existence of some kind of periodic orbits for Hamiltonian systems

DOI10.2996/kmj/1138036378zbMath0499.70025OpenAlexW2037308804MaRDI QIDQ1171893

Haruki Yamada

Publication date: 1981

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036378

zbMATH Keywords

existence and non-existence of periodic orbitsHamiltonian real analytic near origin

Mathematics Subject Classification ID

Hamilton's equations (70H05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Normal modes for nonlinear Hamiltonian systems
• Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Periodic orbits emanating from a resonant equilibrium

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