切换电路系统的复杂行为及其机理  

Complicated behaviors as well as the mechanism of the switching circuit

作　　者：马新东[1] 毕勤胜[1] 

机构地区：[1]江苏大学土木工程与力学学院,镇江212013

出　　处：《物理学报》2012年第24期95-101,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:20976075;10972091)资助的课题~~

摘　　要：建立了不同类型Jerk电路之间存在开关的切换电路系统.基于平衡态分析,指出随参数的变化,两子系统分别存在着稳定的焦点以及由Hopf分岔导致其失稳而产生的周期振荡.考察了开关周期切换引起的各种复杂行为,分别给出了点/环和环/环切换周期振荡现象及其相应的产生机理.在不同的切换振荡过程中,切换点的数目随参数的变化会产生倍化序列,导致系统由倍周期分岔进入混沌,同时,由于参数的变化影响着子系统周期振荡的幅值,进而引起整个切换系统吸引子结构的变化.Switching electrical circuit with switcher between different types of Jerk systems is established. Based upon the analysis of equilibrium states, stable focus as well as periodic oscillations via Hopf bifurcation can be observed in the two subsystems as parameters varies. Complicated behavior caused by the periodic switcher is investigated in detail, and the point/circle and circle/circle switching periodic oscillations as well as the mechanism are presented. In the different types of switching oscillations, the number of the switching points on the trajectory may increase doubly with the variation of the parameter, which may lead to the cascade of period- doubling bifurcation to chaos. Furthermore, the variation of the parameter may influence the amplitude of the periodic oscillation of the subsystem and therefore the structure of the attractor of the whole switching system.

关 键 词：切换电路 倍周期分岔 切换周期振荡 混沌 

分 类 号：O415.5[理学—理论物理]