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arXiv · 1701.08193

Shadowing of non-transversal heteroclinic chains

Amadeu Delshams·Adrià Simon·Piotr Zgliczyński
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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.

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Amadeu Delshams, Adrià Simon, Piotr Zgliczyński. 2017-01-27. Shadowing of non-transversal heteroclinic chains. https://arxiv.org/abs/1701.08193

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