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oai:recercat.cat:2117/1134202026-01-21T06:21:56Zcom_2072_1033col_2072_452950

Shadowing of non-transversal heteroclinic chains Delshams Valdés, Amadeu Simon, Adriá Zgliczynski, Piotr Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC 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 © 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) 2017-12-01 Article Delshams, A., Simon, A., Zgliczynski, P. Shadowing of non-transversal heteroclinic chains. "Journal of differential equations", 1 Desembre 2017, vol. 264, núm. 5, p. 3619-3663. 0022-0396 https://hdl.handle.net/2117/113420 10.1016/j.jde.2017.11.024 eng http://www.sciencedirect.com/science/article/pii/S0022039617306149 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ Open Access Attribution-NonCommercial-NoDerivs 3.0 Spain 45 p. application/pdf