Periodic solutions in an array of coupled FitzHugh-Nagumo cells

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

Authors

Isabel Salgado Labouriau (Author) FCUP; Adrian C Murza (Author) Other

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 412

Pages: 29-40

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-008-K7S

DOI: 10.1016/j.jmaa.2013.10.041

Abstract (EN): We analyse the dynamics of an array of N-2 identical cells coupled in the shape of a torus. Each cell is a 2-dimensional ordinary differential equation of FitzHugh-Nagumo type and the total system is Z(N) x Z(N)-symmetric. The possible patterns of oscillation, compatible with the symmetry, are described. The types of patterns that effectively arise through Hopf bifurcation are shown to depend on the signs of the coupling constants, under conditions ensuring that the equations have only one equilibrium state.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12