Periodic orbits for vector fields with nondegenerate first integrals

DOI10.1006/jdeq.2000.3862zbMath1019.37012OpenAlexW2079661502MaRDI QIDQ5943233

Massimo Villarini

Publication date: 1 April 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3862

zbMATH Keywords

periodic orbitsblow upFuller indexMoser's theoremnondegenerate first integralsnonresonance caseresonance case

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27)

Related Items (1)

Lyapunov center theorem on rotating periodic orbits for Hamiltonian systems

Cites Work

• The Fuller index and global Hopf bifurcation
• Singularities of vector fields
• Periodic solutions for dynamical systems possessing a first integral in the resonance case
• Normal modes for nonlinear Hamiltonian systems
• Smooth dynamical systems. Introductory article
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• An Index of Fixed Point Type for Periodic Orbits
• Regularization of kepler's problem and the averaging method on a manifold
• Smooth linearization of centres

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