Synchronization of unified chaotic system based on passive control
type: Item
instance of: scholarly article
title: Synchronization of unified chaotic system based on passive control
zbMATH Open document ID: 1119.34332
published in: Physica D
publication date: 2007-02-19T00:00:00Z
review text: The paper studies the following control problem: Find a control function \(u=u(x,y)\) such that two systems \(x'=f(x)\) and \(y'=f(y)+u\), where \(x,y \in \mathbb{R}^3\) are synchronized, i.e. \(\| x(t,x_0)-y(t,y_0)\| \to 0\) for any initial conditions \(x_0 = x(0,x_0)\) and \(y_0=y(0,y_0)\). The function \(f\) is chosen to correspond to the so called unified chaotic system, although chaos is not a matter of the paper.
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 5128030
zbMATH Keywords: unified chaotic system
zbMATH Keywords: passive synchronization control
author: Fa-Qiang Wang
author: Chongxin Liu
MaRDI profile type: Publication
full work available at URL: j.physd.2006.09.038
OpenAlex ID: W1974541918
cites work: Synchronization in chaotic systems
cites work: Global chaos synchronization of new chaotic systems via nonlinear control
cites work: ADAPTIVE SYNCHRONIZATION OF CHAOTIC SYSTEMS VIA STATE OR OUTPUT FEEDBACK CONTROL
cites work: Synchronization of Genesio chaotic system via backstepping approach
cites work: Impulsive synchronization of chaotic systems
cites work: Synchronization of Rössler and Chen chaotic dynamical systems using active control
cites work: BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
cites work: Deterministic Nonperiodic Flow
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
DOI: 10.1016/J.PHYSD.2006.09.038
description: scientific article; zbMATH DE number 5128030