Stability of closed characteristics on compact convex hypersurfaces in \(\mathbb R^{6}\)

DOI10.4171/JEMS/161zbMath1167.52009arXivmath/0701673MaRDI QIDQ1024259

Wei Wang

Publication date: 16 June 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701673

zbMATH Keywords

stabilityMorse theoryHamiltonian 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) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Stability theory for smooth dynamical systems (37C75)

Related Items (18)

Closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^{8}\) ⋮ 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 ⋮ Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\) ⋮ Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond ⋮ Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Index iteration theories for periodic orbits: old and new ⋮ Multiple P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Irrationally elliptic closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\) ⋮ Stability of closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Irrationally elliptic closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^6\) ⋮ Brake type closed characteristics on reversible compact convex hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces ⋮ Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in \(\mathbb{R}^{2n} \) ⋮ Symmetric closed characteristics on symmetric compact convex hypersurfaces in \(\mathbb{R}^8\) ⋮ Existence of closed characteristics on compact convex hypersurfaces in \(\mathbf{R}^{2n}\)

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