Differentiable generalized synchronization of chaos
نویسندگان
چکیده
We consider simple Lyapunov-exponent-based conditions under which the response of a system to a chaotic drive is a smooth function of the drive state. We call this differentiable generalized synchronization ~DGS!. When DGS does not hold, we quantify the degree of nondifferentiability using the Hölder exponent. We also discuss the consequences of DGS and give an illustrative numerical example. @S1063-651X~97!02704-9#
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