Chaotic Behaviors of a Delay Partial Difference Equation with a Delay Controller

Yong-jin Zhang, Wei Liang, Xuanxuan Zhang
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Abstract

A delay partial difference equation with a delay controller is studied in this paper. We show that it can lead to both Devaney chaos and Li–Yorke chaos by applying the modified Marotto’s theorem, with three criteria established for generating chaos. Computer simulations of chaotic behaviors and spatiotemporal graphs are performed with three examples.
带时滞控制器的时滞偏差分方程的混沌行为
研究了一类带时滞控制器的时滞偏差分方程。我们通过应用修正的Marotto定理证明了它可以导致Devaney混沌和Li-Yorke混沌,并建立了产生混沌的三个准则。通过三个实例对混沌行为和时空图进行了计算机模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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