CHAOS IN PERIODICALLY FORCED REVERSIBLE VECTOR FIELDS

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Isabel S Labouriau (Author) FCUP; Elisa Sovrano (Author) Other

Journal

Title: Journal of Singularities

Vol. 22

Pages: 227-240

ISSN: 1949-2006

Publisher: Worldwide Center of Mathematics

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 2 Citations

Other information

Authenticus ID: P-00S-ZWD

DOI: 10.5427/jsing.2020.22p

Abstract (EN): We discuss the appearance of chaos in time-periodic perturbations of reversible vector fields in the plane. We use the normal forms of codimension 1 reversible vector fields and discuss the ways a time-dependent periodic forcing term of pulse form may be added to them to yield topological chaotic behaviour. Chaos here means that the resulting dynamics is semiconjugate to a shift in a finite alphabet. The results rely on the classification of reversible vector fields and on the theory of topological horseshoes. This work is part of a project of studying periodic forcing of symmetric vector fields.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14