Periodic solutions near an equilibrium of a differential equation with a first integral

zbMath0651.34040MaRDI QIDQ1106380

Wacław Marzantowicz, Adam Parusiński

Publication date: 1987

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1987__77__193_0

zbMATH Keywords

eigenvaluebifurcationautonomous systemsfirst integral

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Symmetric Liapunov center theorem for minimal orbit ⋮ Symmetric Liapunov center theorem

Cites Work

• A new degree for \(S^ 1\)-invariant gradient mappings and applications
• 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
• Obstruction Theory and Multiparameter Hopf Bifurcation
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Global Bifurcations of Periodic Orbits
• Global Hopf bifurcation from a multiple eigenvalue

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