Multiple attractors and dynamic analysis of a no-equilibrium chaotic system

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• 作者：Jing-long Zuo^a ; ^{JingLong_Zuo@126.com" class="auth_mail" title="E-mail the corresponding author} ; ^{oklong@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Chun-Lai Li^b
• 关键词：Chaos ; Shilnikov method ; Multiple attractors
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：127
• 期：19
• 页码：7952-7957
• 全文大小：3414 K

文摘

The hidden attractor holds attracting basin that does not intersect with any small neighborhoods of equilibrium. The attractors of chaotic systems with no-equilibrium, only stable equilibrium or a line of equilibrium belong to hidden attractors, and in which the Shilnikov method is not suitable to explain the chaos. This paper introduces a three-dimensional chaotic system with no equilibrium point. The fundamental dynamical properties as phase portrait, power spectral density, state trajectory, Lyapunov exponent, Kaplan-Yorke dimension and bifurcation are displayed and discussed, which show that the new system exhibits rich dynamics and can generate multiple attractors with different system parameters and initial values.