Bifurcation analysis of Lu system with the periodic parameter-switching scheme
Bifurcation analysis of Lu system with the periodic parameter-switching scheme
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Lu系统的周期性参数切换方案分岔分析
DOI：
10.1016/j.ijleo.2016.08.009
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发表时间：
2016
期刊：
影响因子：
3.1
通讯作者：
Xiujing Han
中科院分区：
文献类型：
--
作者：
Zhixing Wang;Chun Zhang;Xiujing Han
本文引入了与参数周期性变化有关的开关，并在此基础上建立了两个鲁棒系统之间的典型开关动力学模型。为了探讨开关振荡的动力学行为和机理，通过开关条件和分段映射定义了整个系统的Poincar e ′映射.计算了各种周期切换振荡对应的不动点的位置和相应的Floquet乘子，并据此确定了切换Lu系统的鞍音分岔、叉状分岔和倍周期分岔等分岔情形.
In this paper, switches related to the parameters altered periodically are introduced, upon which a typical switched dynamical model between two Lu systems is established. To explore the dynamical behaviors and the mechanism of the switching oscillations, Poincar e´ map of the whole system is defined by the switching conditions and piecewise maps. The location of the fixed points corresponding to various periodic switching oscillations and associated Floquet multipliers are calculated, based on which bifurcation scenarios, such as saddle-note bifurcation, pitchfork bifurcation and period-doubling bifurcation, are determined in the switched Lu system.