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Shadowing of non-transversal heteroclinic chains

Author

Delshams Valdés, Amadeu

Simon, Adriá

Zgliczynski, Piotr

Other authors

Universitat Politècnica de Catalunya. Departament de Matemàtiques

Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC

Publication date

2017-12-01

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Abstract

© 2017 Elsevier Inc. 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 Schrödinger equation.

Peer Reviewed

Postprint (author's final draft)

Document Type

Article

Language

English

Subjects and keywords

Àrees temàtiques de la UPC::Matemàtiques i estadística; Schrödinger equation; Differential equations; Covering relations; heteroclinic chain; non-transversal intersection; s hadowing; Equacions diferencials ordinàries; Schrödinger, Equació de; Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems

Related items

http://www.sciencedirect.com/science/article/pii/S0022039617306149

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Rights

http://creativecommons.org/licenses/by-nc-nd/3.0/es/

Open Access

Attribution-NonCommercial-NoDerivs 3.0 Spain

This item appears in the following Collection(s)

E-prints [72986]