| 一个分段光滑系统中的特征激变 |
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| 引用本文： | 巢小刚,岳明,金铱,倪重文.一个分段光滑系统中的特征激变[J].西北师范大学学报,2011,47(2). |
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| 作者姓名： | 巢小刚 岳明 金铱 倪重文 |
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| 作者单位： | 常州大学数理学院; |
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| 基金项目： | 常州大学数理基金资助项目(ZMF09020024) |
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| 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.
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| 关 键 词： | 分段光滑 椭圆岛 混沌吸引子 激变 |
A characteristic crisis in a piece-wise smooth system |
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| CHAO Xiao-gang,YUE Ming,JIN Yi,NI Chong-wen.A characteristic crisis in a piece-wise smooth system[J].Journal of Northwest Normal University Natural Science (Bimonthly),2011,47(2). |
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| Authors: | CHAO Xiao-gang YUE Ming JIN Yi NI Chong-wen |
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| Institution: | CHAO Xiao-gang,YUE Ming,JIN Yi,NI Chong-wen (School of Mathematics and Physics,Changzhou University,Changzhou 213164,Jiangsu,China) |
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| Abstract: | 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. |
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| Keywords: | piecewise smooth elliptic island chaotic attractor crisis |
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