We consider an autonomous, second order Hamiltonian system having a saddle-center stationary point whose center manifold is foliated in periodic orbits and we prove existence of infinitely many solutions asymptotic, as time goes to +∞ and -∞ to some of such periodic orbits. The proof is based on critical point theory.
EXISTENCE OF HOMOCLINIC SOLUTIONS TO PERIODIC ORBITS IN A CENTER MANIFOLD
COTI ZELATI, VITTORIO
2004
Abstract
We consider an autonomous, second order Hamiltonian system having a saddle-center stationary point whose center manifold is foliated in periodic orbits and we prove existence of infinitely many solutions asymptotic, as time goes to +∞ and -∞ to some of such periodic orbits. The proof is based on critical point theory.File in questo prodotto:
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