Dynamical behaviors of the periodic parameter-switching system
Dynamical behaviors of the periodic parameter-switching system
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DOI：
10.1007/s11071-013-0764-4
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发表时间：
2013-02
影响因子：
5.6
通讯作者：
Chun Zhang;Xiujing Han;Qinsheng Bi
中科院分区：
文献类型：
--
作者：
Chun Zhang;Xiujing Han;Qinsheng Bi
本文建立了一个关于洛伦兹振子的周期参数切换系统。为了研究该系统的分岔行为，用合适的局部截面和局部映射定义了整个系统的庞卡罗映射。采用射击法和龙格-库塔法计算不动点的位置和局部分岔的参数值。然后，基于Floquent理论，我们得出了周期加倍和鞍节点分岔在各种周期解和混沌的生成中起重要作用。同时，在分析各子系统平衡点的基础上，探讨了不同周期切换振荡的机理。
In this paper, a periodic parameter-switching system about Lorenz oscillators is established. To investigate the bifurcation behavior of this system, Poincaré mapping of the whole system is defined by suitable local sections and local mappings. The location of the fixed point and the parameter values of local bifurcations are calculated by the shooting method and Runge–Kutta method. Then based on the Floquent theory, we conclude that the period-doubling and saddle-node bifurcations play an important role in the generation of various periodic solutions and chaos. Meanwhile, upon the analysis of the equilibrium points of the subsystems, we explore the mechanisms of different periodic switching oscillations.