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:①它是不连续边界象集的归宿;②具有分数维。
In order to study the chaotic behavior in the discontinuous system,a RLC nonlinear circuit model with an analogy switch was observed,which was described by a piecewise-continuous map.The system was studied through a great deal of numerical investigation,it was found that with any parameter varying,the chaotic attractor appeared on the phase plane when value of the controlling parameter was greater than some threshold value.Such a chaotic attractor was obtained on the phase plane by numerical calculation.Having been studied by means of numerical calculation,the attractor was found to own two characteristics:① it is the end-results of the image set of the discontinuous borderline;② it is a fractal.
出处
《江苏工业学院学报》
2004年第3期43-45,共3页
Journal of Jiangsu Polytechnic University
基金
江苏工业学院科技基金资助
关键词
电路
混沌吸引子
不连续边界
electronic circuit
chaotic attractor
discontinuous borderline
