Phys. Rev. E 71, 016201 (2005) - Generalized synchronization in time-delayed systems

Generalized synchronization in time-delayed systems

E. M. Shahverdiev and K. A. Shore

Phys. Rev. E 71, 016201 – Published 3 January 2005

Abstract

We investigate the generalized synchronization between two unidirectionally linearly and nonlinearly coupled chaotic nonidentical Ikeda models and find existence conditions of the generalized synchronization. Also we study the chaos synchronization between nonidentical Ikeda models with variable feedback-delay times and find the existence and sufficient stability conditions for the retarded synchronization manifold with the coupling-delay lag time. Generalization of the approach to the wide class of nonlinear chaotic systems is also presented.

Received 11 May 2004

DOI:https://doi.org/10.1103/PhysRevE.71.016201

©2005 American Physical Society

Authors & Affiliations

E. M. Shahverdiev^*

Institute of Physics, 33, H. Javid Avenue, 370143-Baku, Azerbaijan and The Abdus Salam ICTP, Strada Costiera, 11, I-34014, Trieste, Italy

School of Informatics, University of Wales, Bangor, Dean Street, Bangor, LL57 1UT, Wales, United Kingdom

^*Electronic address: shahverdiev@physics.ab.az

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Issue

Vol. 71, Iss. 1 — January 2005

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