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 harald@summa.physik.hu-berlin.de
Received:
25
September
1997
Revised:
9
January
1998
Accepted:
9
January
1998
Published online: 15 April 1998
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.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
