Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds
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Publication:2504058
zbMath1118.37031arXivmath/0410391MaRDI QIDQ2504058
Fabio Giannoni, Roberto Giambò, Paolo Piccione
Publication date: 22 September 2006
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410391
Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
Related Items (13)
Seifert Conjecture in the Even Convex Case ⋮ Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ Multiple brake orbits in \(m\)-dimensional disks ⋮ On the relative category in the brake orbits problem ⋮ Multiple subharmonic solutions in Hamiltonian system with symmetries ⋮ Examples with minimal number of brake orbits and homoclinics in annular potential regions ⋮ On the normal exponential map in singular conformal metrics ⋮ A multiplicity result for orthogonal geodesic chords in Finsler disks ⋮ Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the \(N\)-dimensional disk ⋮ Multiple brake orbits and homoclinics in Riemannian manifolds ⋮ Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles ⋮ Multiple Symmetric Brake Orbits in Bounded Convex Symmetric Domains ⋮ Multiplicity results for orthogonal geodesic chords and applications
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