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Chaotification for linear delay difference equations
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DOI：10.1186/1687-1847-2013-59.png)
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Abstract
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.
Keywords:
chaos
chaotification
delay difference equation
chaos in the sense of Li-Yorke
chaos in the sense of Devaney
Journal
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3.1
Papers:
4.7K
Citations:
7.4K
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