Information flow and nontrivial collective behavior in chaotic-coupled-map lattices
Authors:
- 22 May 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 67 (5) , 056214
Abstract
This work quantitatively demonstrates a nontrivial collective behavior, which depends on the coupling strength in chaotic-coupled-map lattices, using the interdependence measure emerging from a local unit. The amount of information flow which flows from the instantaneous mean field to a local map has been investigated using the time-delayed mutual information. Interestingly, the collective system’s behavior is found to be associated with the amount of information flow. As mentioned above, both methods can effectively display the nontrivial collective behavior and the amount of information flow.Keywords
This publication has 11 references indexed in Scilit:
- Information transfer and nontrivial collective behavior in chaotic coupled map networksPhysical Review E, 2002
- Measuring Information TransferPhysical Review Letters, 2000
- Collective ChaosPhysical Review Letters, 1998
- Nontrivial collective behavior in coupled maps on fractal latticesPhysica A: Statistical Mechanics and its Applications, 1998
- Synchronization and Collective Behavior in Globally Coupled Logarithmic MapsProgress of Theoretical Physics, 1998
- Collective behavior of coupled chaotic mapsPhysics Letters A, 1995
- Do globally coupled maps really violate the law of large numbers?Physical Review Letters, 1994
- Emergence of Effective Low-Dimensional Dynamics in the Macroscopic Behaviour of Coupled Map LatticesEurophysics Letters, 1992
- Collective Behaviors in Spatially Extended Systems with Local Interactions and Synchronous UpdatingProgress of Theoretical Physics, 1992
- Globally coupled chaos violates the law of large numbers but not the central-limit theoremPhysical Review Letters, 1990