ON SYSTEM DECOMPOSITION FOR SYNCHRONIZING CHAOS

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Abstract
The problem of the existence of equivalent self-synchronizing systems for a given chaotic system containing a unique stationary and memoryless nonlinear element is addressed. By employing classical frequency domain stability results, one-parameter families of equivalent self-synchronizing systems are given in an explicit way. This degree of freedom may be useful for choosing optimal solutions in practical applications where suitable performance measures are specified.

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