Title :
On the choice of coupling in a system of coupled maps: structure implies features
Author :
Tyukin, Ivan ; van Leeuwen, Coen
Author_Institution :
RIKEN, Brain Sci. Inst., Saitama, Japan
Abstract :
The conditions of stable synchrony for asymmetrically coupled maps (CM) were analyzed. Utilizing Axlamar´s lemma we derived sufficient conditions for partial pair-wise synchronization. These results allow us to derive the conditions for cluster-to-node and cluster-to-cluster synchronization. We distinguish four particular types of synchronization patterns and analyze their properties. These properties are sensitivity to disturbances and ability of the system to act as either associative memory or classifier. We identify the restrictions on the coupling parameters that determine in which of these models the system operates.
Keywords :
chaos; content-addressable storage; discrete systems; nonlinear dynamical systems; synchronisation; associative memory; asymmetrically coupled maps; cluster-to-cluster synchronization; cluster-to-node synchronization; coupling parameters; discrete systems; matrix algebra; nonlinear dynamical systems; partial pair wise synchronization; sensitivity; stable synchrony conditions; sufficient conditions; synchronization patterns; Associative memory; Brain modeling; Chaos; Couplings; Electroencephalography; Laboratories; Nonlinear dynamical systems; Nonlinear systems; Oscillators; Spatiotemporal phenomena;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236894
