Periodic Forcing of a Heteroclinic Network

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Isabel S Labouriau (Autor) FCUP; Alexandre A P Rodrigues (Autor) FCUP

Revista

Título: Journal of Dynamics and Differential Equations

Vol. 35

Páginas: 2951-2969

ISSN: 1040-7294

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Outras Informações

ID Authenticus: P-00V-7V5

DOI: 10.1007/s10884-021-10054-w

Abstract (EN): We present a comprehensive mechanism for the emergence of rotational horseshoes and strange attractors in a class of two-parameter families of periodically-perturbed differential equations defining a flow on a three-dimensional manifold. When both parameters are zero, its flow exhibits an attracting heteroclinic network associated to two periodic solutions. After slightly increasing both parameters, while keeping a two-dimensional connection unaltered, we focus our attention in the case where the two-dimensional invariant manifolds of the periodic solutions do not intersect. We prove a wide range of dynamical behaviour, ranging from an attracting quasi-periodic torus to rotational horseshoes and Henon-like strange attractors. We illustrate our results with an explicit example.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19