Brake type closed characteristics on reversible compact convex hypersurfaces in \(\mathbb{R}^{2n}\)

DOI10.1016/J.NA.2011.02.001zbMath1223.37077OpenAlexW2077215926MaRDI QIDQ534457

Duanzhi Zhang

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.02.001

zbMATH Keywords

Hamiltonian systemsMaslov-type indexclosed characteristicsbrake orbitreversible compact convex hypersurface

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Hamilton's equations (70H05)

Related Items (9)

Functions on the sphere with critical points in pairs and orthogonal geodesic chords ⋮ Seifert Conjecture in the Even Convex Case ⋮ Equivariant wrapped Floer homology and symmetric periodic Reeb orbits ⋮ On the relative category in the brake orbits problem ⋮ Iteration theory of \(L\)-index and multiplicity of brake orbits ⋮ On the normal exponential map in singular conformal metrics ⋮ Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles ⋮ Multiple brake orbits on compact convex symmetric reversible hypersurfaces in \(\mathbb{R}^{2 n}\) ⋮ Multiplicity results for orthogonal geodesic chords and applications

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