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

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

2001-11-12

arxiv.org/abs/nlin/0111025v1

Nonlinear Sciences

Chaotic Dynamics

LaTex 6 pages, resubmitted to PRE

Scientific paper

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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