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, multi-bump solutions asymptotic, as time goes to +∞ and -∞ to some of such periodic orbits. The proof is based on critical point theory.
MULTIBUMP SOLUTIONS HOMOCLINIC TO PERIODIC ORBITS OF LARGE ENERGY IN A CENTRE MANIFOLD / COTI ZELATI, Vittorio; M., Macrì. - In: NONLINEARITY. - ISSN 0951-7715. - STAMPA. - 18:(2005), pp. 2409-2445. [10.1088/0951-7715/18/6/001]
MULTIBUMP SOLUTIONS HOMOCLINIC TO PERIODIC ORBITS OF LARGE ENERGY IN A CENTRE MANIFOLD
COTI ZELATI, VITTORIO;
2005
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, multi-bump 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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