TURBULENCE DUE TO SPIRAL BREAKUP IN A CONTINUOUS EXCITABLE MEDIUM

Authors
Citation
M. Bar et M. Eiswirth, TURBULENCE DUE TO SPIRAL BREAKUP IN A CONTINUOUS EXCITABLE MEDIUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(3), 1993, pp. 180001635-180001637
Citations number
30
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
48
Issue
3
Year of publication
1993
Pages
180001635 - 180001637
Database
ISI
SICI code
1063-651X(1993)48:3<180001635:TDTSBI>2.0.ZU;2-Y
Abstract
Excitable media are extended spatial systems, which support the propag ation of waves including pulses and rotating spirals. They are well de scribed by sets of partial differential equations involving a fast act ivator and a slow inhibitor variable. Here we show that spiral breakup , leading to turbulence, can occur in a two-dimensional reaction-diffu sion system with delayed-inhibitor production. Upon a decrease of exci tability, spirals become unstable because their wavelengths and period s are too short to be sustained in the system.