Analysis of a novel three-dimensional chaotic system

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• 作者：Chunlai Li^a ; ^{hnistlichl@163.com} ; Hongmin Li^b ; Yaonan Tong^b
• 关键词：Chaotic system ; Invariable Lyapunov exponent spectrum ; Amplitude adjuster ; Phase reversal ; Modulation factor
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2013
• 出版时间：July, 2013
• 年：2013
• 卷：124
• 期：13
• 页码：1516-1522
• 全文大小：3057 K

文摘

This paper proposes a novel three-dimensional (3D) autonomous chaotic system, which displays complicated dynamical behaviors. Basic dynamical properties are analyzed by means of phase portraits, Poincare mapping and equilibria. The different dynamic behaviors of the system are investigated especially when changing each system parameter. It is found that the Lyapunov exponent spectrums keep invariable when the parameters d, e and f vary; the signal amplitude can be adjusted by d, e and f; and the phase of signals x₁ and x₃ in the system can be controlled by parameter e. Finally, the amplitude modulation factor of this 3D chaotic system is studied carefully.