This paper deals with perturbed Hamiltonian systems. The main assumption is that the unperturbed system has a homoclinic orbit which is non-degenerate in the sense that the linearized equation as a 1-dimensional kernel. If the Poincare Melnikov potential is sufficiently oscillating we construct multi-bump and also infinite-bump solutions. These ideas and results in bifurcation theory have been later used by several authors
Homoclinics and chaotic behaviour for perturbed second order systems / Berti, Massimiliano; Bolle, P.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - CLXXVI:(1999), pp. 323-378.
Homoclinics and chaotic behaviour for perturbed second order systems
BERTI, MASSIMILIANO;
1999
Abstract
This paper deals with perturbed Hamiltonian systems. The main assumption is that the unperturbed system has a homoclinic orbit which is non-degenerate in the sense that the linearized equation as a 1-dimensional kernel. If the Poincare Melnikov potential is sufficiently oscillating we construct multi-bump and also infinite-bump solutions. These ideas and results in bifurcation theory have been later used by several authorsFile in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
