Stability of the brake orbits on reversible symmetric compact convex hypersurfaces in \(R^{2n}\)

DOI10.1007/S11784-016-0363-3zbMath1365.58006OpenAlexW2550216577MaRDI QIDQ523347

Duanzhi Zhang, Zhi-Ping Fan

Publication date: 20 April 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0363-3

zbMATH Keywords

brake orbitsmean indicesreversible symmetric compact convex hypersurfaces

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (1)

Stability of subharmonic solutions of first-order Hamiltonian systems with anisotropic growth

Cites Work

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• Index theory for symplectic paths with applications
• \(P\)-cyclic symmetric closed characteristics on compact convex \(P\)-cyclic symmetric hypersurface in \(\mathbb{R}^{2n}\)
• Iteration theory of \(L\)-index and multiplicity of brake orbits
• Multiple brake orbits in bounded convex symmetric domains
• Seifert Conjecture in the Even Convex Case
• Non-hyperbolic Closed Characteristics on Symmetric Compact Convex Hypersurfaces in R²ⁿ
• On the maslov index

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