Theoretical design and circuit realization of complex grid multi-wing chaotic 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：Mirror symmetry conversion ; Complex grid multi-wing chaotic attractor ; Improved module-based circuits design ; Circuit realization
• 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：4584-4589
• 全文大小：2156 K

文摘

This paper further investigates a novel method for generating complex grid multi-wing chaotic attractors by double-mirror symmetry conversion both in z direction and in y direction. First, multi-wing chaotic attractors are obtained from a three-dimensional quadratic chaotic system by designing an even-symmetry multi-segment quadratic function to extend the number of saddle-focus equilibrium points with index 2 in y direction. Second, the principle of mirror symmetry conversion for generating grid multi-wing is given. Third, based on the principle, by the double-mirror symmetry conversion with respect to z-axis and y-axis, respectively, intended grid n × m-wing chaotic systems can be obtained. Finally, improved module-based circuits are designed for generating grid multi-wing chaotic attractors, which has demonstrated the feasibility of the proposed approaches.