Abstract
The onset of homogeneous oscillations in spatially extended system is considered. The master equation formulation shows that, in a one-dimensional system, there exists a finite length beyond which the homogeneous oscillations are destroyed. Microscopic simulations are used to investigate the status of this prediction and quantitative agreement is obtained. The origin of the desynchronization mechanism is clarified.
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Mansour, M.M., Dethier, J. & Baras, F. Microscopic Simulation of Limit Cycle Behavior in Spatially Extended Systems. Journal of Statistical Physics 101, 425–441 (2000). https://doi.org/10.1023/A:1026451230269
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DOI: https://doi.org/10.1023/A:1026451230269