Macroscopic model for collective behavior of chaotic coupled map lattices
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
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