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Multiplicity of principal bounce trajectories with prescribed minimal period on Riemannian manifolds

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Publication:1308546
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zbMath0780.58037MaRDI QIDQ1308546

Fabio Giannoni

Publication date: 9 February 1994

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

multiplicityperiodic solutionsRiemannian manifoldminimal periodprincipal bounce trajectories


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global Riemannian geometry, including pinching (53C20) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items

On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems, On the effect of the domain on the number of orthogonal geodesic chords, Multiple brake orbits in \(m\)-dimensional disks, On the relative category in the brake orbits problem, Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the \(N\)-dimensional disk, Multiplicity results for orthogonal geodesic chords and applications



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