Chaotification for linear delay difference equations

Zongcheng Li

doi:10.1186/1687-1847-2013-59

2013-03-18

Zongcheng Li *

DOI：10.1186/1687-1847-2013-59

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摘要

En 中文

This paper is concerned with chaotification of linear delay difference equations via the feedback control technique. The controlled system is first reformulated into a linear discrete dynamical system. Then, a chaotification theorem based on the snap-back repeller theory for maps is established. The controlled system is proved to be chaotic in the sense of both Devaney an Li-Yorke. An illustrative example is provided with computer simulations.

Keyword:

chaos

chaotification

delay difference equation

chaos in the sense of Li-Yorke

chaos in the sense of Devaney

期刊

Advances in Difference Equations

IF:

3.1

论文数:

4.8K

被引数:

7.7K

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