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

Abstract EN

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.