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一个新类Lorenz混沌系统的动力学分析及电路仿真(英文)
Nonlinear dynamics and circuit implementation of a new Lorenz-like attractor
【摘要】 提出了一个新的三维自治类Lorenz系统,理论分析了该系统的非线性动力学特性.分析了系统在平衡点处的稳定性,以及产生Hopf分岔的条件.最后对该系统的一个混沌吸引子进行了数值仿真和实际电路模拟.
【Abstract】 In this paper, a new three dimensional Lorenz-like chaotic system is reported. Nonlinear characteristic and basic dynamic properties of the three-dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and the conditions for generating Hopf bifurcation of the equilibria. The chaotic system is not only demonstrated by numerical simulation but also verified with the electronic circuit.
【关键词】 新类Lorenz系统;
分岔;
混沌;
电路实现;
【Key words】 new Lorenz-like system; bifurcation; chaos; circuit implementation;
【Key words】 new Lorenz-like system; bifurcation; chaos; circuit implementation;
【基金】 国家自然科学基金(50475109);甘肃省自然科学基金(3ZS042-B25-049);兰州交通大学基金(DXS-07-0028,DXS-07-0029)
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University(Natural Science Edition) , 编辑部邮箱 ,2008年05期
- 【分类号】O415.5
- 【被引频次】14
- 【下载频次】230