Construction of heteroclinic networks in R-4

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Castro, SBSD (Author) FEP; Lohse, A (Author) Other

Journal

Title: Nonlinearity

Vol. 29 No. 12

Pages: 3677-3695

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Other information

Authenticus ID: P-00M-77K

DOI: 10.1088/0951-7715/29/12/3677

Abstract (EN): We study heteroclinic networks in R-4, made of a certain type of simple robust heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two-dimensional fixed-point spaces. We show that there exist only very few ways to join such cycles together in a network and provide the list of all possible such networks in R-4. The networks involving simple heteroclinic cycles of type A are new in the literature and we describe the stability of the cycles in these networks: while the geometry of type A and type B networks is very similar, stability distinguishes them clearly.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19