Shadowing of non-transversal heteroclinic chains
Dynamical Systems
2017-01-31 v1
Abstract
We present a new result about the shadowing of nontransversal 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 Schr\"odinger equation.
Keywords
Cite
@article{arxiv.1701.08193,
title = {Shadowing of non-transversal heteroclinic chains},
author = {Amadeu Delshams and Adrià Simon and Piotr Zgliczyński},
journal= {arXiv preprint arXiv:1701.08193},
year = {2017}
}