Stable closed characteristics on partially symmetric convex hypersurfaces

DOI10.1016/j.jde.2004.03.004zbMath1108.37044OpenAlexW2001042696MaRDI QIDQ703815

Yujun Dong, Long, Yiming

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.004

zbMATH Keywords

Hamiltonian systemsClosed orbitConvex energy surfaceEllipticityP-symmetry

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) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

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Cites Work

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• Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
• Index theory for symplectic paths with applications
• Hyperbolic characteristics on star-shaped hypersurfaces