Hyperbolic Orbits for a Class of Singular Hamiltonian Systems

preprint2012arXivOpen access

Abstract

The existence of hyperbolic orbits is proved for a class of singular Hamiltonian systems u¨(t)+∇V(u(t))=0\ddot{u}(t)+\nabla 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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