Artículo de revista
Local theory of the slanted homoclinic snaking bifurcation diagram
Fecha
2008-09Registro en:
PHYSICAL REVIEW E Volume: 78 Issue: 3 Article Number: 036214 Part: Part 2 Published: SEP 2008
1539-3755
10.1103/PhysRevE.78.036214
Autor
Bortolozzo, U.
Clerc Gavilán, Marcel
Residori, S.
Institución
Resumen
Localized states in out of equilibrium one-dimensional systems are described by the homoclinic snaking associated with the infinite sequence of multibump localized solutions of the corresponding time reversible dynamical system. We show that when the pattern undergoes a saddle-node bifurcation the homoclinic snaking bifurcation diagram becomes slanted and a finite set of localized states continue to exist outside the region of bistability. This generic behavior offers a local theory resolution of the discrepancy between models and experiments.