Hyperbolic Orbits for a Class of Singular Hamiltonian Systems

2011/12/15 by Dong‐Lun Wu, Wu, Donglun, Shiqing Zhang +1 · 1 citation
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1112.3408

openalex publication_date 2011/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The existence of hyperbolic orbits is proved for a class of singular Hamiltonian systems u(t)+∇ V(u(t))=0 by taking limit for a sequence of periodic solutions which are the variational minimizers of Lagrangian actions.

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