Nonsmooth functions in generalized synchronization of chaos

V. Afraimovich; J. R. Chazottes; A. Cordonet

doi:10.1016/S0375-9601(01)00155-4

Nonsmooth functions in generalized synchronization of chaos

V. Afraimovich
, J. R. Chazottes
, A. Cordonet

IICO-UASLP
Ctr. de Phys. Theor. Luminy

Research output: Contribution to journal › Article › peer-review

Abstract

We state some analytical results on of nonsmooth functional dependence that occurs between the phase space coordinates of chaotic drive and response systems when they are synchronized. In particular, we describe the change of regularity of the synchronization function which ranges from Lipschitz to Hölder continuity when the coupling strength decreases.

Original language	English
Pages (from-to)	109-112
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	283
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(01)00155-4
Publication status	Published - 7 May 2001
Externally published	Yes

Keywords

Chaotic dynamical systems
Generalized synchronization of chaos
Master-slave synchronization

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10.1016/S0375-9601(01)00155-4

Cite this

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title = "Nonsmooth functions in generalized synchronization of chaos",

abstract = "We state some analytical results on of nonsmooth functional dependence that occurs between the phase space coordinates of chaotic drive and response systems when they are synchronized. In particular, we describe the change of regularity of the synchronization function which ranges from Lipschitz to H{\"o}lder continuity when the coupling strength decreases.",

keywords = "Chaotic dynamical systems, Generalized synchronization of chaos, Master-slave synchronization",

author = "V. Afraimovich and Chazottes, \{J. R.\} and A. Cordonet",

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T1 - Nonsmooth functions in generalized synchronization of chaos

AU - Afraimovich, V.

AU - Chazottes, J. R.

AU - Cordonet, A.

PY - 2001/5/7

Y1 - 2001/5/7

N2 - We state some analytical results on of nonsmooth functional dependence that occurs between the phase space coordinates of chaotic drive and response systems when they are synchronized. In particular, we describe the change of regularity of the synchronization function which ranges from Lipschitz to Hölder continuity when the coupling strength decreases.

AB - We state some analytical results on of nonsmooth functional dependence that occurs between the phase space coordinates of chaotic drive and response systems when they are synchronized. In particular, we describe the change of regularity of the synchronization function which ranges from Lipschitz to Hölder continuity when the coupling strength decreases.

KW - Chaotic dynamical systems

KW - Generalized synchronization of chaos

KW - Master-slave synchronization

U2 - 10.1016/S0375-9601(01)00155-4

DO - 10.1016/S0375-9601(01)00155-4

M3 - Article

AN - SCOPUS:0035820906

SN - 0375-9601

VL - 283

SP - 109

EP - 112

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

Nonsmooth functions in generalized synchronization of chaos

Abstract

Keywords

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