Chaotification for a Class of Delay Difference Equations Based on Snap-Back Repellers

Zongcheng Li, Shutang Liu, Wei Li and Qingli Zhao

Mathematical Problems in Engineering, 2015, vol. 2015, 1-7

Abstract:

We study the chaotification problem for a class of delay difference equations by using the snap-back repeller theory and the feedback control approach. We first study the stability and expansion of fixed points and establish a criterion of chaos. Then, based on this criterion of chaos and the feedback control approach, we establish a chaotification scheme such that the controlled system is chaotic in the sense of both Devaney and Li-Yorke when the parameters of this system satisfy some mild conditions. For illustrating the theoretical result, we give some computer simulations.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:917137

DOI: 10.1155/2015/917137

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