Stability in simple heteroclinic networks in

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Sofia B.S.D. Castro (Author) FEP; lohse, a (Author) Other

Journal

Title: Dynamical Systems

Vol. 29 No. 4

Pages: 451-481

ISSN: 1468-9367

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 18 Citations

Scopus - 21 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-009-XWE

DOI: 10.1080/14689367.2014.940853

Abstract (EN): We describe all heteroclinic networks in made of simple heteroclinic cycles of types B or C, with at least one common connecting trajectory. For networks made of cycles of type B, we study the stability of the cycles that make up the network as well as the stability of the network. We show that even when none of the cycles has strong stability properties, the network as a whole may be quite stable. We prove, and provide illustrative examples of, the fact that the stability of the network does not depend a priori uniquely on the stability of the individual cycles.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 31