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 / M., Macrì; COTI ZELATI, Vittorio. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 202:(2004), pp. 158-182. [10.1016/j.jde.2004.03.030]
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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