Anticipatory synchronization with variable time delay and reset

Details Anticipatory synchronization with variable time delay and reset Anticipatory synchronization with variable time delay and reset

2008-10-31

arxiv.org/abs/0810.5613v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, 9 figures. submitted to Phys. Rev. E

Scientific paper

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is realized with intermittant information about the driving system at intervals fixed by a reset time. The stability of the synchronization manifold is analyzed with the resulting discrete error dynamics. The numerical calculations in standard systems like the Rossler and Lorenz systems are used to demonstrate the method and the results of the analysis.

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