Phys. Rev. E 55, 4029–4034 (1997)Differentiable generalized synchronization of chaosReceived 13 September 1996; published in the issue dated April 1997 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. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.55.4029
DOI:
10.1103/PhysRevE.55.4029
PACS:
05.45.+b
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