We consider an autonomous, second order Hamiltonian system having a saddle-center stationary point whose center manifold is foliated in invariant tori and we prove existence of infinitely many solutions asymptotic, as time goes to +∞ and -∞ to some of such invariant tori. The proof is based on critical point theory.
Homoclinic solutions to invariant tori in a center manifold / COTI ZELATI, Vittorio; M., Macrì. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 19:2(2008), pp. 103-134.
Homoclinic solutions to invariant tori in a center manifold
COTI ZELATI, VITTORIO;
2008
Abstract
We consider an autonomous, second order Hamiltonian system having a saddle-center stationary point whose center manifold is foliated in invariant tori and we prove existence of infinitely many solutions asymptotic, as time goes to +∞ and -∞ to some of such invariant tori. The proof is based on critical point theory.File in questo prodotto:
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