Generalized synchronization in chaotic systems
type: Item
instance of: scholarly article
title: Generalized synchronization in chaotic systems
zbMATH Open document ID: 0946.34040
DOI: 10.1016/S0960-0779(97)00149-5
author: Yanyan Li
published in: Chaos, Solitons and Fractals
publication date: 2000-10-10T00:00:00Z
review text: Let there be a drive system \(dx/dt=f(x), \;x\in \mathbb{R}^n\), and a function \(H: \mathbb{R}^n \rightarrow \mathbb{R}^m\). The goal is to construct a response system \(dy/dt = g(u(x),y)\) with the drive function \(u\) such that \(||y(t, y_0) - H(x(t,x_0))||\rightarrow 0\) as \(t \rightarrow \infty\) (generalized synchronization). The author proves that the asymptotic stability of the linearized system \(d\eta /dt = g_y (H(x (t,x_0), u(x(t,x_0))))\eta\) implies generalized synchronization.
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 1370456
zbMATH Keywords: generalized synchronization
zbMATH Keywords: chaotic systems
zbMATH Keywords: asymptotic behavior
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
cites work: Synchronization in chaotic systems
cites work: SPREAD SPECTRUM COMMUNICATION THROUGH MODULATION OF CHAOS
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description: scientific article; zbMATH DE number 1370456