Homoclinic and periodic orbits for hamiltonian systems

These results are summarized in Theorem 1, which provides a global branch of nonlinear normal modes (see property (i) below) and a family of solutions with arbitrarily large

The goal of this article is to study closed connected sets of periodic solutions, of autonomous second order Hamiltonian systems, emanating from infinity.. The main idea is to apply

For symplectic paths on bounded intervals, the index theory has been completely established, which revealed tremendous applications in the study of periodic orbits of

Maslov index for compact self adjoint operators with respect to a bounded self adjoint operator with finite dimensional kernel.. The index relates to the difference

MONTECCHIARI, Existence and multiplicity of homoclinic solutions for a class of asymptotically periodic second order Hamiltonian Systems, Preprint, SISSA, 1993. [7]

We use the Saddle Point Theorem to obtain existence of solutions for a finite time interval, and then we obtain heteroclinic orbits as limit of them.. Our hypothesis

Note that any equilibrium point of this flow is a critical point of J 12 and conversely. The flow is a Morse-Smale flow if the stable and unstable manifolds

MARINO, Periodic solutions of dynamical systems with Newtonian type potentials, Periodic solutions of Hamiltonian systems and related topics, P. RABINOWITZ et