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The influence of delaying on the properties of synchronization of chaotic systems.

Author: Piotr Fronczak

We will show by an analytical stability analysis that there exists the optimal value of control loop latency (not equal to zero) for which synchronization by feedback method is more sucessful in comparision to lack of delaying. It?s rather surprising and not obvious at first sight.

We will show also stability domain for synchronization of fixed points. Our analytical results are in good agreement with numerical calculations of two Roessler oscillators and with data from an electronic circuit experiment.

 

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