一个新的三维二次自治混沌系统及其研究

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提出了一个新的三维二次自治混沌系统。该系统具有四个参数和两个非线性项,其中的一个参数为分岔参数,二个非线性项分别为乘积项z2和交叉乘积项xy。随着分岔参数值的改变,系统的振荡机制由周期态演变为混沌态。通过理论分析和计算机模拟以及最大李氏指数和分岔的计算,对系统的基本动力学特性进行了研究。采用模块化设计方法对该系统进行了混沌电路设计与实验,给出了实验结果。电路实验与计算机模拟结果相一致,证实了该系统的混沌特性。 A new three-dimensional autonomic chaotic system is proposed. The system has four parameters and two non-linear terms, one of which is a bifurcation parameter and the other two are the product term z2 and the cross product term xy. With the change of bifurcation parameter value, the oscillation mechanism of the system evolves from the periodic state to the chaos state. Through the theoretical analysis and computer simulation and the calculation of maximum Lee’s index and bifurcation, the basic dynamic characteristics of the system are studied. The design and experiment of the chaotic circuit are carried out by using the modular design method, and the experimental results are given. The circuit experiment is consistent with the computer simulation results, confirming the chaotic characteristics of the system.
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