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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Isochronal synchronization of time delay and delay-coupled chaotic systems

Full text
Author(s):
Grzybowski, J. M. V. [1] ; Macau, E. E. N. [2] ; Yoneyama, T. [1]
Total Authors: 3
Affiliation:
[1] ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[2] INPE, BR-12227010 Sao Jose Dos Campos - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 44, n. 17 APR 29 2011.
Web of Science Citations: 17
Abstract

This paper studies the problem of isochronal synchronization of time-delay chaotic systems featuring also coupling delay. Based on the Lyapunov-Krasovskii stability theory, sufficient conditions are derived for the stability of isochronal synchronization between a pair of identical chaotic systems. Such criteria permit the proper design of stable proportional linear feedback controller, more specifically, the design of adequate proportional feedback gain matrices. The proposed criteria are suited to systems with (i) intrinsic delay, (ii) coupling delay or (iii) both. Numerical simulations of the synchronization of delay-coupled systems are presented as examples of the application of the criteria. (AU)

FAPESP's process: 08/11684-0 - Control and synchronization on chaotic complex networks with coupling delay
Grantee:Jose Mario Vicensi Grzybowski
Support type: Scholarships in Brazil - Doctorate