dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.contributor.author
Delshams Valdés, Amadeu
dc.contributor.author
Simon, Adriá
dc.contributor.author
Zgliczynski, Piotr
dc.date.issued
2017-12-01
dc.identifier
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.
dc.identifier
https://hdl.handle.net/2117/113420
dc.identifier
10.1016/j.jde.2017.11.024
dc.description.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.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.relation
http://www.sciencedirect.com/science/article/pii/S0022039617306149
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Schrödinger equation
dc.subject
Differential equations
dc.subject
Covering relations
dc.subject
heteroclinic chain
dc.subject
non-transversal intersection
dc.subject
Equacions diferencials ordinàries
dc.subject
Schrödinger, Equació de
dc.subject
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.title
Shadowing of non-transversal heteroclinic chains
