Low-Dimensional Chaos in Populations of Strongly-Coupled Noisy Maps(Oscillation, Chaos and Network Dynamics in Nonlinear Science)

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概要

• 論文の詳細を見る

• We characterize the macroscopic attractor of infinite populations of noisy maps subjected to global and strong coupling by using an expansion in order parameters. We show that for any noise amplitude there exists a large region of strong coupling where the macroscopic dynamics exhibits low-dimensional chaos embedded in a hierarchically-organized, folded, infinite-dimensional set. Both this structure and the dynamics occurring on it are well-captured by our expansion. In particular, even low-degree approximations allow to calculate efficiently the first macroscopic Lyapunov exponents of the full system.

• 理論物理学刊行会の論文
• 2006-04-20

著者

• Chate Hugues

  CEA-Saclay

• Chate Hugues

  Cea-service De Physique De L'etat Condense Centre D'etudes De Saclay

• DE MONTE

  CNRS-UMR 7625, Ecole Normale Superieure

• MOSEKILDE Erik

  Department of Physics, The Technical University of Denmark

• De Monte

  Cnrs-umr 7625 Ecole Normale Superieure

• Mosekilde Erik

  Department Of Physics The Technical University Of Denmark

• CHATE Hugues

  CEA-Service de Physique de l'Etat Condense, Centre d'Etudes de Saclay

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