Multiple brake orbits and homoclinics in Riemannian manifolds

DOI10.1007/s00205-010-0371-1zbMath1228.37044OpenAlexW2087441629WikidataQ115389017 ScholiaQ115389017MaRDI QIDQ717477

Roberto Giambò, Paolo Piccione, Fabio Giannoni

Publication date: 4 October 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-010-0371-1

zbMATH Keywords

Riemannian manifoldgeodesicsHamiltonian systemssmooth boundarybreak orbitsstrong concavity

Mathematics Subject Classification ID

Related Items (12)

Functions on the sphere with critical points in pairs and orthogonal geodesic chords ⋮ On the covering of a Hill's region by solutions in systems with gyroscopic forces ⋮ Equivariant wrapped Floer homology and symmetric periodic Reeb orbits ⋮ Multiple brake orbits in \(m\)-dimensional disks ⋮ On the relative category in the brake orbits problem ⋮ Remarks on the covering of the possible motion area by solutions in rigid body systems ⋮ Examples with minimal number of brake orbits and homoclinics in annular potential regions ⋮ Iteration theory of \(L\)-index and multiplicity of brake orbits ⋮ On the normal exponential map in singular conformal metrics ⋮ A multiplicity result for orthogonal geodesic chords in Finsler disks ⋮ Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles ⋮ Multiplicity results for orthogonal geodesic chords and applications

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