摘要
报道了一个具有过电压保护的张弛振荡电路,它由两个保守映射不可逆耦合而成的分段光滑映射描述.在这样一个类耗散系统中,当系统的控制参数达到某一阈值时,混沌吸引子突然消失而产生激变.该激变具有两个特征:一是椭圆岛自身构成混沌吸引子逃逸的"逃逸孔洞",二是它的标度指数为1.79.
The thesis reports a relaxation and oscillation circuit with over-voltage protection,which is described by a piecewise smooth concatenation of two conservative maps.In such a quasi-dissipative system,crisis arises from the sudden disappearance of a chaotic attractor with fractal dimension when the control parameter reaches a certain threshold value.The crisis has two characteristics：the elliptic island itself is escaping hole through which the chaotic attractor escapes;its scale index is 1.79.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2011年第2期42-45,共4页
Journal of Northwest Normal University(Natural Science)
基金
常州大学数理基金资助项目(ZMF09020024)
关键词
分段光滑
椭圆岛
混沌吸引子
激变
piecewise smooth
elliptic island
chaotic attractor
crisis
