CHAOS, NOISE, AND SYNCHRONIZATION RECONSIDERED

Authors
HERZEL H FREUND J
Citation
H. Herzel et J. Freund, CHAOS, NOISE, AND SYNCHRONIZATION RECONSIDERED, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 3238-3241
Citations number
22
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
52
Issue
3
Year of publication
1995
Part
B
Pages
3238 - 3241
Database
ISI
SICI code
1063-651X(1995)52:3<3238:CNASR>2.0.ZU;2-F
Abstract
In a recent paper, Maritan and Banavar [Phys. Rev. Lett. 72, 1451 (199 4)] reported the synchronization of identical chaotic systems by addit ive noise. We relate such a synchronization to the maximum Lyapunov ex ponent of a single system and discuss the underlying mechanisms of the effect. In the case of the Lorenz equations, the nonvanishing mean of the noise mimics a parameter change leading to synchronization. For t he logistic map a state dependence of the fluctuations is induced by t he boundary conditions.