Issue |
Europhys. Lett.
Volume 46, Number 5, June I 1999
|
|
---|---|---|
Page(s) | 565 - 570 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i1999-00303-0 | |
Published online | 01 September 2002 |
Macroscopic model for collective behavior of chaotic coupled map lattices
1
Laboratoire d'Hydrodynamique, Ecole Polytechnique -
91128 Palaiseau, France
2
CEA - Service de Physique de l'Etat Condensé,
Centre d'Etudes de Saclay
91191 Gif-sur-Yvette, France
Received:
30
September
1998
Accepted:
17
March
1999
We present a simple model for the collective behavior exhibited by chaotic coupled map lattices (CMLs) in any space dimension which takes into account local fluctuations and short-range correlations. This reduces the dynamics of CMLs to the evolution of a one-body distribution function coupled to a coherence length. Quantitatively good results are obtained, especially in the case of coupled tent maps, even though no free parameter is available.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, 1999
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