Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\)

DOI10.1016/j.jde.2008.10.003zbMath1165.58007OpenAlexW2037124408MaRDI QIDQ1019671

Wei Wang

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.003

zbMATH Keywords

Hamiltonian systemsclosed characteristicscompact convex hypersurfacesmean index identity

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Stability theory for smooth dynamical systems (37C75)

Related Items (4)

Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications ⋮ On the minimal number of periodic orbits on some hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Brake type closed characteristics on reversible compact convex hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\)

Cites Work

• Unnamed Item
• Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\)
• Une théorie de Morse pour les systèmes hamiltoniens convexes
• Convex Hamiltonian energy surfaces and their periodic trajectories
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Periodic orbits for convex hamiltonian systems
• The dynamics on three-dimensional strictly convex energy surfaces
• Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
• Index theory for symplectic paths with applications
• Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces
• Morse theory and existence of periodic solutions of convex hamiltonian systems
• Equivariant Morse Theory for Starshaped Hamiltonian Systems
• Periodic solutions of hamiltonian systems

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