DIFFERENTIABLE GENERALIZED SYNCHRONIZATION OF CHAOS

Authors
HUNT BR OTT E YORKE JA
Citation
Br. Hunt et al., DIFFERENTIABLE GENERALIZED SYNCHRONIZATION OF CHAOS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(4), 1997, pp. 4029-4034
Citations number
29
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
4
Year of publication
1997
Pages
4029 - 4034
Database
ISI
SICI code
1063-651X(1997)55:4<4029:DGSOC>2.0.ZU;2-7
Abstract
We consider simple Lyapunov-exponent-based conditions under which the response of a system to a chaotic drive is a smooth function of the dr ive state. We call this differentiable generalized synchronization (DG S). When DGS does not hold, we quantify the degree of nondifferentiabi lity using the Holder exponent. We also discuss the consequences of DG S and give an illustrative numerical example.