Hyperbolic Orbits for a Class of Singular Hamiltonian Systems

Abstract

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.

References in corpus (1)

• Entire Parabolic Trajectories as Minimal Phase Transitions

Cited by in corpus (2)

• Hyperbolic Orbits for a Class of Singular Hamiltonian Systems with Repulsive Potentials
• Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy