Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Podvigina, O (Author) Other; Castro, SBSD (Author) FEP; Isabel S Labouriau (Author) FCUP

Journal

Title: Dynamical Systems

Vol. 34

Pages: 157-193

ISSN: 1468-9367

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 6 Citations

Other information

Authenticus ID: P-00Q-70M

DOI: 10.1080/14689367.2018.1486807

Abstract (EN): This article is concerned with three heteroclinic cycles forming a heteroclinic network in . The stability of the cycles and of the network is studied. The cycles are of a type that has not been studied before, and provide an illustration for the difficulties arising in dealing with cycles and networks in high dimension. In order to obtain information on the stability for the present network and cycles, in addition to the information on eigenvalues and transition matrices, it is necessary to perform a detailed geometric analysis of return maps. Some general results and tools for this type of analysis are also developed here.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 37