Finite switching near heteroclinic networks

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Castro, SBSD (Author) FEP; Garrido da Silva, L (Author) FEUP

Journal

Title: Nonlinearity

Vol. 36

Pages: 6239-6259

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00Z-914

DOI: 10.1088/1361-6544/ad03cf

Abstract (EN): <jats:title>Abstract</jats:title> <jats:p>We address the level of complexity that can be observed in the dynamics near a robust heteroclinic network. We show that infinite switching, which is a path towards chaos, does not exist near a heteroclinic network such that the eigenvalues of the Jacobian matrix at each node are all real. Furthermore, for a path starting at a node that belongs to more than one heteroclinic cycle, we find a bound for the number of such nodes that can exist in any such path. This constricted dynamics is in stark contrast with examples in the literature of heteroclinic networks such that the eigenvalues of the Jacobian matrix at one node are complex.</jats:p>

Language: English

Type (Professor's evaluation): Scientific