Open Access
2014 Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers
Zongcheng Li
Abstr. Appl. Anal. 2014(SI19): 1-8 (2014). DOI: 10.1155/2014/260150

Abstract

This paper is concerned with anticontrol of chaos for a class of delay difference equations via the feedback control technique. The controlled system is first reformulated into a high-dimensional discrete dynamical system. Then, a chaotification theorem based on the heteroclinic cycles connecting repellers for maps is established. The controlled system is proved to be chaotic in the sense of both Devaney and Li-Yorke. An illustrative example is provided with computer simulations.

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Zongcheng Li. "Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers." Abstr. Appl. Anal. 2014 (SI19) 1 - 8, 2014. https://doi.org/10.1155/2014/260150

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022027
MathSciNet: MR3198169
Digital Object Identifier: 10.1155/2014/260150

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI19 • 2014
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