The main results give hypotheses ensuring that a non-autonomous first order Hamiltonian system has a global branch of homoclinic solutions bifurcating from an eigenvalue of odd multiplicity of the linearization. The system is required to be asymptotically periodic (as time goes to plus and minus infinity) and these limit problems should have no homoclinic solutions. Furthermore, the asymptotic limits of the linearization should have no characteristic multipliers on the unit circle. The proof uses the topological degree for proper Fredholm maps of index zero
Secchi, S., & Stuart, C. (2003). Global bifurcation of homoclinic solutions of Hamiltonian systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 9(6), 1493-1518.
Citazione: | Secchi, S., & Stuart, C. (2003). Global bifurcation of homoclinic solutions of Hamiltonian systems. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 9(6), 1493-1518. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | Si |
Titolo: | Global bifurcation of homoclinic solutions of Hamiltonian systems |
Autori: | Secchi, S; Stuart, C |
Autori: | |
Data di pubblicazione: | 2003 |
Lingua: | English |
Rivista: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.3934/dcds.2003.9.1493 |
Appare nelle tipologie: | 01 - Articolo su rivista |