Codimension two bifurcations of symmetric cycles in Hamiltonian systems with an antisymplectic involution

DOI10.1007/BF01049390zbMath0761.34029MaRDI QIDQ1188336

Yieh-Hei Wan

Publication date: 13 August 1992

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

parametersbifurcationslow order resonancesfamilies of symmetric cyclesreversible Hamiltonian system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• The Hamiltonian Hopf bifurcation
• Singularities and groups in bifurcation theory. Volume II
• A unifying theory in determining periodic families for Hamiltonian systems at resonance
• Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance
• Stability of nonlinear normal modes of symmetric Hamiltonian systems
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Generic Deformations of Varieties
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Introduction to Lie Algebras and Representation Theory

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