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Analytical Investigation of Anticipating Synchronization in time-delayed and Cascaded Systems

2001/11/12 by E. M. Shahverdiev, Shahverdiev, E. M., S. Sivaprakasam +4
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum optics and atomic interactions #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.nlin/0111025

LaTex 6 pages, resubmitted to PRE

arxiv created 2001/11/12 · openalex publication_date 2001/11/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the first time, using a modified Ikeda model it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability conditions for the dual-time anticipating synchronization manifold. We also show that increased anticipation times for chaotic time-delay systems with two characteristic delay times can be obtained by the use of cascaded systems.

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