Closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb R^{2n}\)
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Publication:2503820
DOI10.1007/BF02879987zbMath1099.37047OpenAlexW1566213652MaRDI QIDQ2503820
Publication date: 22 September 2006
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02879987
Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lagrangian submanifolds; Maslov index (53D12)
Related Items (17)
Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces ⋮ Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\) ⋮ A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf{R}^{2n}\) ⋮ Multiple periodic solutions of Hamiltonian systems with prescribed energy ⋮ 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 ⋮ Starshaped sets ⋮ Maslov-type index and brake orbits in nonlinear Hamiltonian systems ⋮ Iteration inequalities of the Maslov \(P\)-index theory with applications ⋮ Irrationally elliptic closed characteristics on symmetric compact star-shaped hypersurfaces in \(\mathbf{R}^{4}\) ⋮ Index iteration theory for symplectic paths and multiple periodic solution orbits ⋮ Resonance identities for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf R^{2n}\) ⋮ Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces ⋮ Computing Reeb dynamics on four-dimensional convex polytopes ⋮ Multiplicity of closed Reeb orbits on dynamically convex \(\mathbb{R}P^{2n-1} \) for \(n\geq2\) ⋮ The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\)
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