TRAVELING PULSES IN REACTION-DIFFUSION SYSTEMS UNDER GLOBAL CONSTRAINTS

Authors
HEMPEL H SCHEBESCH I SCHIMANSKYGEIER L
Citation
H. Hempel et al., TRAVELING PULSES IN REACTION-DIFFUSION SYSTEMS UNDER GLOBAL CONSTRAINTS, EUROPEAN PHYSICAL JOURNAL B, 2(3), 1998, pp. 399-407
Citations number
40
Categorie Soggetti
Physics, Condensed Matter
Journal title
EUROPEAN PHYSICAL JOURNAL B → ACNP
ISSN journal
14346028
Volume
2
Issue
3
Year of publication
1998
Pages
399 - 407
Database
ISI
SICI code
1434-6028(1998)2:3<399:TPIRSU>2.0.ZU;2-A
Abstract
The influence of global inhibition on travelling pulses both in infini te and in finite periodic systems is investigated. Analytic investigat ion of the modified piecewise linear Rinzel-Keller-Model (RKM) shows a shrinking and slowing down of pulses due to global inhibition. Analyt ic results obtained are confirmed by numerical simulations. The invest igation is completed by numerical simulations of the modified Oregonat or model for the light-sensitive BZR.