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

E. M. Shahverdiev·S. Sivaprakasam·K. A. Shore
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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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E. M. Shahverdiev, S. Sivaprakasam, K. A. Shore. 2001-11-12. Analytical Investigation of Anticipating Synchronization in time-delayed and Cascaded Systems. https://arxiv.org/abs/nlin/0111025

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