Stability of symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\) under a pinching condition

DOI10.1007/s10114-011-0494-9zbMath1316.37036OpenAlexW2102624908MaRDI QIDQ353566

Hui Liu

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0494-9

zbMATH Keywords

Hamiltonian systemssymmetric closed characteristicssymmetric compact convex hypersurfaces

Mathematics Subject Classification ID

Related Items (6)

Non-hyperbolic \(P\)-invariant closed characteristics on partially symmetric compact convex hypersurfaces ⋮ Resonance identity for symmetric closed characteristics on symmetric convex Hamiltonian energy hypersurfaces and its applications ⋮ Non-hyperbolic Closed Characteristics on Symmetric Compact Convex Hypersurfaces in R²ⁿ ⋮ Multiple P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces ⋮ Indices and stability of the Lagrangian system on Riemannian manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\)
• Closed trajectories on symmetric convex Hamiltonian energy surfaces
• Une théorie de Morse pour les systèmes hamiltoniens convexes
• Multiple orbits for Hamiltonian systems on starshaped surfaces with symmetries
• On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
• Closed geodesics on positively curved manifolds
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Bott formula of the Maslov-type index theory
• Normal forms of symplectic matrices
• Precise iteration formulae of the Maslov-type index theory and ellipticity of closed characteristics
• Closed characteristics on compact convex hypersurfaces in \(\mathbb{R}^{2n}\)
• Index theory for symplectic paths with applications
• Stability and the Growth of the Number of Closed Characteristics on Compact Convex Hypersurfaces
• Stability of Closed Characteristics on Compact Hypersurfaces in R²ⁿ Under a Pinching Condition

This page was built for publication: Stability of symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb R^{2n}\) under a pinching condition