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基于奇函數的一類四維四翼混沌系統設計與電路實現

Design and circuit implementation of a kind of 4D four-wing chaotic system based on the odd function

  • 摘要: 基于奇函數,提出了一類新的四維混沌系統,通過調整該系統的參數,使其在某些平面上形成四翼.對該類系統進行了數值模擬,對其一些基本的動力學行為進行了分析,如平衡點、耗散性和Lyapunov指數.研究了混沌系統的參數敏感性,討論了系統相圖隨參數變化所呈現的周期、混沌等狀態.設計了一個混動系統的振蕩電路,通過MULTISIM得到的相圖與數值模擬結果具有良好的一致性.

     

    Abstract: A kind of four-dimensional (4D) four-wing chaotic system was proposed based on the odd function. The chaotic system can generate four wings on a certain plane by adjusting some parameters. Its basic dynamic behaviors including equilibria, dissipativity and Lyapunov exponents were analyzed by numerical simulation. The sensitivity of system parameters to the chaotic behavior was also studied. When the parameters vary, the phase diagram can present periodic orbits, chaos, and other states. An oscillation circuit was designed for the chaotic system, and MUTISIM observed results have a good consistency with numerical simulation.

     

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