Abstract and Applied Analysis

Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System

Yin Li, Yulin Zhao, and Zheng-an Yao

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Abstract

This paper is devoted to investigate the tracking control and generalized synchronization of the hyperchaotic Lorenz-Stenflo system using the tracking model and the feedback control scheme. We suppress the chaos to unstable equilibrium via three feedback methods, and we achieve three globally generalized synchronization controls. Novel tracking controllers with corresponding parameter update laws are designed such that the Lorenz-Stenflo systems can be synchronized asymptotically. Moreover, numerical simulations are presented to demonstrate the effectiveness, through the contrast between the orbits before being stabilized and the ones after being stabilized.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 515106, 18 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449966

Digital Object Identifier
doi:10.1155/2013/515106

Mathematical Reviews number (MathSciNet)
MR3139478

Zentralblatt MATH identifier
1291.34105

Citation

Li, Yin; Zhao, Yulin; Yao, Zheng-an. Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 515106, 18 pages. doi:10.1155/2013/515106. https://projecteuclid.org/euclid.aaa/1393449966


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