Long periodic solutions near an equilibrium in general resonance cases

DOI10.2996/kmj/1138036266zbMath0482.34032OpenAlexW1979900627MaRDI QIDQ1162644

Hidekazu Ito

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036266

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

Long periodic orbits near an equilibrium and the averaging method in higher-order resonances ⋮ On the existence of long periodic orbits near the Lyapunov's periodic family in general reasonance cases

Cites Work

• Unnamed Item
• Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
• A unifying theory in determining periodic families for Hamiltonian systems at resonance
• Lyapunov's center theorem for resonant equilibrium
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein

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