2026-04-17T14:20:47Zhttps://recercat.cat/oai/request

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

00925njm 22002777a 4500 dc Delshams Valdés, Amadeu author Simon, Adriá author Zgliczynski, Piotr author 2017-12-01 © 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) 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 Shadowing of non-transversal heteroclinic chains