Isochronal synchronization of time delay and delay-coupled chaotic systems

Autor(es)

Grzybowski, J. M. V. ^[1] ; Macau, E. E. N. ^[2] ; Yoneyama, T. ^[1]

Afiliação do(s) autor(es)

^[1] ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[2] INPE, BR-12227010 Sao Jose Dos Campos - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 44, n. 17 APR 29 2011.
• Citações Web of Science: 16

Resumo

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)

• Processo FAPESP: 08/11684-0 - Controle e sincronização de redes complexas caóticas com atraso de propagação
• Beneficiário: Jose Mario Vicensi Grzybowski
• Modalidade de apoio: Bolsas no Brasil - Doutorado