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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 2 Issue 3 (1998) pp 399-407
Travelling pulses in reaction-diffusion systems under global constraints
H. Hempel (1) (a), I. Schebesch (2), L. Schimansky-Geier (1)
(1) Institut für Physik, Humboldt-Universität zu Berlin, Invalidenstraße 110, 10115 Berlin Germany
(2) Institut für Theoretische Physik, Technische Universität, Hardenbergstraße 36, 10623 Berlin, Germany
Received: 25 September 1997 / Revised: 9 January 1998 / Accepted: 9 January 1998
Abstract: The influence of global inhibition on travelling pulses both in infinite and in finite periodic systems is investigated. Analytic investigation of the modified piecewise linear Rinzel-Keller-Model (RKM) shows a shrinking and slowing down of pulses due to global inhibition. Analytic results obtained are confirmed by numerical simulations. The investigation is completed by numerical simulations of the modified Oregonator model for the light-sensitive BZR.
PACS. 52.35.Mw Nonlinear waves and nonlinear wave propagation (including parametric effects, mode coupling, ponderomotive effects, etc.)
(a) email: harald@summa.physik.hu-berlin.de
Online publication: May 27, 1998
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