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

Abstract EN

We study the chaotificationproblem for a class of delay difference equations by using thesnap-back repeller theory and the feedback control approach.

Wefirst study the stability and expansion of fixed points andestablish a criterion of chaos.

Then, based on this criterion ofchaos and the feedback control approach, we establish achaotification scheme such that the controlled system is chaotic inthe sense of both Devaney and Li-Yorke when the parameters of thissystem satisfy some mild conditions.

For illustrating thetheoretical result, we give some computer simulations.