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Self-organizing dynamics of coupled map systems

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Date Issued:
Title: Self-organizing dynamics of coupled map systems.
Name(s): Liebovitch, Larry S., creator
Zochowski, Michal, creator
Type of Resource: text
Genre: Article
Issuance: single unit
Date Issued: 1999-03
Publisher: The American Physical Society
Language(s): English
Identifier: 165481 (digitool), FADT165481 (IID), fau:2609 (fedora), 10.1103/PhysRevE.59.2830 (doi)
FAU Department/College: Department of Psychology Charles E. Schmidt College of Science
Note(s): The authors, in this article, show that the feedback from the macroscopic dynamics of a system of coupled units can synchronize the dynamics of these units. The authors studied the dynamics of maps coupled through their variables and control parameters. The feedback adjusted the values of the parameters of each map by using a function that depended on the difference between the Liapunov exponent of each unit and the Liapunov exponent of the mean field of the system. The article shows that synchronization of the maps can be achieved under two different conditions: (1) where the maps interact autonomously without a fixed controlling map and (2) where the maps interact nonautomously with a single controlling map with fixed parameters. This method of feedback control may be useful in controlling more general types of parallel distributed systems.
This manuscript is a version of the article published in Physical Review E v.59, no. 3 (March 1999)
Subject(s): Dynamics--Mathematical models
Chaotic behavior in systems
Self-organizing maps
Self-organizing systems-Mathematical models
Persistent Link to This Record:
Restrictions on Access: ©1999 American Physical Society
Host Institution: FAU

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