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Microscopic Simulation of Limit Cycle Behavior in Spatially Extended Systems

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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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Authors and Affiliations

  1. Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050, Brussels, Belgium

    M. Malek Mansour, J. Dethier & F. Baras

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  1. M. Malek Mansour
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  2. J. Dethier
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  3. F. Baras
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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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