Eur. Phys. J. B 2, 399-407 (1998)
https://doi.org/10.1007/s100510050263

Travelling pulses in reaction-diffusion systems under global constraints

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

Corresponding author: ^a This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 25 September 1997
Revised: 9 January 1998
Accepted: 9 January 1998
Published online: 15 April 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.