Anticontrol of Chaos for a Class of Delay Difference Equations Based on Heteroclinic Cycles Connecting Repellers

Zongcheng Li

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/260150

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:260150

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