Complicated behaviors and bifurcation mechanism of the periodic parameter-switching Chen system

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• 作者：Chun Zhang^a ; ; Xiu-jing Han^b ; Qinsheng Bi^b
• 关键词：Switched system ; Floquet multiplies ; Symmetric switching oscillation ; Bifurcation mechanism
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：568-575
• 全文大小：1239 K
• 卷排序：130

文摘

In this paper, a switched system that switches between two Chen systems based on the parameters altered periodically is established. To investigate the mechanism of switching oscillation of the whole system, Poincaré map of the whole system is defined by the switching scheme and the solutions of the subsystems. Different types of periodic switching oscillations revolved around the unstable equilibrium points and their transitions to chaotic oscillations can be observed. We conclude that bifurcation scenarios, such as period-doubling bifurcation, pitchfork bifurcation and saddle-note bifurcation, play an important role in the generation of various (symmetric or asymmetric) periodic oscillations and chaos in the switched system.