Information flow and nontrivial collective behavior in chaotic-coupled-map lattices

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.