Local theory of the slanted homoclinic snaking bifurcation diagram

被引：27

作者：

Bortolozzo, U. ^{[1
]}

Clerc, M. G. ^{[2
]}

Residori, S. ^{[1
]}

机构：

[1] Univ Nice, CNRS, INLN, F-06560 Valbonne, France

[2] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.78.036214

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

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