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, 1-8

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:260150

DOI: 10.1155/2014/260150

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