Multiple brake orbits on convex hypersurfaces under asymmetric pinch conditions

DOI10.1016/J.NA.2005.01.023zbMath1135.37326OpenAlexW2066441066MaRDI QIDQ1780772

Duanzhi Zhang

Publication date: 13 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.023

zbMATH Keywords

\((r,R)\)-pinch\(\mathbb Z_2\)-actionBrake orbitDual action

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

Brake type closed characteristics on reversible compact convex hypersurfaces in \(\mathbb{R}^{2n}\)

Cites Work

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• Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
• An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems
• Analytical mini-max methods for Hamiltonian brake orbits of prescribed energy
• Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions
• Periodische Bewegungen mechanischer Systeme
• A note on the existence of multiple brake orbits

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