| 一例分段连续系统的分形特征 |
| |
| 引用本文： | 戴俊.一例分段连续系统的分形特征[J].江苏科技大学学报(社会科学版),2006,20(5):37-40. |
| |
| 作者姓名： | 戴俊 |
| |
| 作者单位： | 江苏科技大学数理学院 江苏镇江212003 |
| |
| 摘 要： | 构造了一例累积—触发电路系统,推导出这例系统可以由分段连续二维映象表示,通过数值计算给出了该系统的相空间分布,反映了相空间由具有瘦分形结构的瞬态随机网、肥分形结构的禁区网和椭圆岛构成;分别计算了瘦分形维数和肥分形指数,定量说明了这个分段连续系统的相空间的分形特征。
|
| 关 键 词： | 分段连续 瘦分形 肥分形 |
| 文章编号： | 1673-4807（2006）05-0037-04 |
| 收稿时间： | 2006-01-06 |
| 修稿时间： | 2006-01-06 |
Fractal Characters in Piecewise Smooth System |
| |
| DAI Jun.Fractal Characters in Piecewise Smooth System[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2006,20(5):37-40. |
| |
| Authors: | DAI Jun |
| |
| Institution: | School of Mathematics and Physics,Jiangsu University of Science and Technology,Zhenjiang Jiangsu 212003 ,China |
| |
| Abstract: | An integrate-and-fire circuit described by piecewise 2-D maps is discussed.The phase map of the system is given through the numerical calculation.It is found that the phase map consists of thin-fractal stochastic web,fat-fractal forbidden web and elliptic islands.The fractal dimension of the stochastic web and the fractal exponent of the forbidden web are calculated.The fractal characters of the phase plane in the piecewise smooth system are described quantitively. |
| |
| Keywords: | piecewise smooth system thin-fractal fat-fractal |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
