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:
File | Dimensione | Formato | |
---|---|---|---|
CotiZelati_Macri_2004.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso privato/ristretto
Dimensione
313.75 kB
Formato
Adobe PDF
|
313.75 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.