Irregular excitation patterns in reaction-diffusion systems due to perturbation by secondary pacemakers

Journal article

Authors/Editors

Research Areas

No matching items found.

Publication Details

Author list: Lenk C, Einax M, Maass P

Publisher: American Physical Society

Place: COLLEGE PK

Publication year: 2013

Journal: Physical review E (statistical, nonlinear, biological, and soft matter physics) (2470-0045)

Journal acronym: PHYS REV E

Volume number: 87

Issue number: 4

Number of pages: 8

ISSN: 2470-0045

eISSN: 2470-0053

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

Spatiotemporal excitation patterns in the FitzHugh-Nagumo model are studied, which result from the disturbance of a primary pacemaker by a secondary pacemaker. The primary and secondary pacemakers generate regular waves with frequencies f(pace) and f(pert), respectively. The pacemakers are spatially separated, but waves emanating from them encounter each other via a small bridge. This leads to three different types I-III of irregular excitation patterns in disjunct domains of the f(pace)-f(pert) plane. Types I and II are caused by detachments of waves coming from the two pacemakers at corners of the bridge. Type III irregularities are confined to a boundary region of the system and originate from a partial penetration of the primary waves into a space, where circular wave fronts from the secondary pacemaker prevail. For this type, local frequencies can significantly exceed f(pace) and f(pert). The degree of irregularity found for the three different types is quantified by the entropy of the local frequency distribution and an order parameter for phase coherence. DOI: 10.1103/PhysRevE.87.042904

Keywords

No matching items found.

Documents

No matching items found.