Volume 42, Number 1, April 1998
|Page(s)||19 - 24|
|Published online||01 September 2002|
Onset of homogeneous oscillations in one-dimensional reaction-diffusion systems
Centre for Nonlinear Phenomena and Complex Systems,
Université Libre de Bruxelles Campus Plaine, C.P. 231, B-1050
Accepted: 13 February 1998
The onset of homogeneous oscillations in a one-dimensional spatially extended system is considered. Using the stochastic Poincaré model, it is shown that there exists a finite system length beyond which the homogeneous oscillations are always destroyed. The onset of this desynchronization mechanism is clarified.
PACS: 05.90.+m – Other topics in statistical physics and thermodynamics / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 82.20.Wt – Computational modeling; simulation
© EDP Sciences, 1998
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