Theoretical design approach of four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system

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• 作者：Chaoxia Zhang ; ^{chaoxia_zhang@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Four-dimensional linear system ; Switching control ; Piecewise-linear multi-wing hyperchaotic attractor ; Lyapunov exponent spectrum
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：127
• 期：11
• 页码：4575-4580
• 全文大小：2075 K

文摘

This paper reports a novel approach for constructing four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system. First, two basic four-dimensional linear systems are obtained. Then, by switching control based on Shilnikov theorem, the double-wing hyperchaotic attractors can be generated. Thirdly, by mth shifting transformation of four-dimensional linear systems, multi-wing hyperchaotic attractors are realized. The designed systems are chaotic in the sense of Smale horseshoe. To confirm the existence of hyperchaotic system, Lyapunov exponent spectrums are further investigated.