Shadowing of non-transversal heteroclinic chains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Delshams, Amadeu¹  Simon, Adria¹  Zgliczynski, Piotr² 

[1] Univ Politecn Cataluna, Dept Matemat, Ave Diagonal 647, E-08028 Barcelona, Spain

[2] Jagiellonian Univ, Inst Comp Sci & Computat Math, Lojasiewicza 6, PL-30348 Krakow, Poland

关键词: Shadowing;    Heteroclinic chain;    Non-transversal intersection;    Covering relations;   

DOI  :  10.1016/j.jde.2017.11.024

来源: Elsevier

【 摘 要 】

We present a new result about the shadowing of non-transversal chain of heteroclinic connections based on the idea of dropping dimensions. We illustrate this new mechanism with several examples. As an application we discuss this mechanism in a simplification of a toy model system derived by Colliander et al. in the context of cubic defocusing nonlinear Schrodinger equation. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free