[1]巢小刚.一个分段光滑系统中的混沌吸引子[J].常州大学学报(自然科学版),2004,(03):43-45.
　CHAO Xiao- g ang.Chaotic Attractor in a Piecewise- Smooth System[J].Journal of Changzhou University(Natural Science Edition),2004,(03):43-45.
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一个分段光滑系统中的混沌吸引子()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2004年03期
页码:
43-45
栏目:
出版日期:
2004-09-25

文章信息/Info

Title:
Chaotic Attractor in a Piecewise- Smooth System
作者:
巢小刚
江苏工业学院信息科学系, 江苏 常州 213016
Author(s):
CHAO Xiao- g ang
Department of Informat ion Science, Jiangsu Polytechnic U niversity, Changzhou 213016, China
关键词:
电路;  混沌吸引子;  不连续边界
Keywords:
electronic circuit ;  chaot ic att ractor;  discont inuous borderline
分类号:
O 322. 12
文献标志码:
A
摘要:
为了研究不连续系统中的混沌行为, 观察一个由比较器控制的, 带有模拟开关的RLC 非线性电路模型, 此电路系统的 行为可以用一个分段光滑映象来描述。对该映象进行了大量的数值研究, 发现无论改变参数中的哪一个, 当系统的控制参数超 出某一阈值后系统的相空间都出现一个混沌吸引子。运用数值计算的方法在相平面中得到系统的混沌吸引子, 而后对这个混沌 吸引子进行数值研究, 发现它具有两方面的特征: ? 它是不连续边界象集的归宿; ④具有分数维。
Abstract:
In order to study the chaotic behavior in the discont inuous system, a RLC nonlinear circuit model w ith an analogy sw itch was observed, w hich w as described by a piecewise- cont inuous map. The system was studied throug h a great deal of numerical invest igat ion, it w as found that w ith any parameter varying, the chaotic at t ractor appeared on the phase plane w hen value of the cont rolling parameter w as greater than some threshold value. Such a chaotic att ractor w as obtained on the phase plane by numerical calculation. Having been studied by means of numerical calculat ion, the att ractor w as found to ow n tw o characterist ics: ? it is the end - result s of the image set of the discont inuous borderline; ④ it is a fractal.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 江苏工业学院科技基金资助 作者简介: 巢小刚( 1977- ) , 男, 江苏 常州 人, 硕士生。
更新日期/Last Update: 2004-09-25