Hyperbolic Orbits for a Class of Singular Hamiltonian Systems

Details Hyperbolic Orbits for a Class of Singular Hamiltonian Systems Hyperbolic Orbits for a Class of Singular Hamiltonian Systems

2011-12-15

arxiv.org/abs/1112.3408v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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

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