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| 一类混沌系统动力学行为的突变分析 | |
| 引用本文： | 屈双惠,杨志宏,于津江,郝建红,侯维娜.一类混沌系统动力学行为的突变分析[J].宁夏大学学报(自然科学版),2010,31(3):224-227. |
| 作者姓名： | 屈双惠 杨志宏 于津江 郝建红 侯维娜 |
| 作者单位： | 1. 石家庄学院物理学系、电气信息工程系,河北石家庄,050035 2. 华北电力大学电气与电子工程学院,北京,102206 3. 重庆邮电大学光互联网及无线信息网络研究中心,重庆,400065 |
| 基金项目： | 华北电力大学博士基金资助项目，国际科技合作资助项目，河北省教育厅科学研究计划资助项目 |
| 摘 要： | 通过对一类混沌系统突变行为的分析发现,在其突变区域,系统可出现2个由稳定不动点决定的混沌吸引子.随着系统参数的变化,当某个吸引子的吸引域逾越不稳定不动点界限或临界状态时,系统将突变到另一吸引子上,并且在系统参数变化范围相同的区域,若系统参数变化的趋势不同,系统的动力学行为不同.在突变区域,通过适当选取系统的初始值,可改变系统的动力学行为走向. |
| 关 键 词： | 突变系统 吸引域 临界状态 |
Catastrophe Analysis of Dynamic Behaviour for A Chaotic System |
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| Qu Shuanghui,Yang Zhihong,Yu Jinjiang,Hao Jianhong,Hou Weina.Catastrophe Analysis of Dynamic Behaviour for A Chaotic System[J].Journal of Ningxia University(Natural Science Edition),2010,31(3):224-227. | |
| Authors: | Qu Shuanghui Yang Zhihong Yu Jinjiang Hao Jianhong Hou Weina |
| Institution: | 1.Department of Physics and Electrical Information Engineering,Shijiazhuang University,Shijiazhuang 050035,China;2.School of Electric and Electronic Engineering,North China Electric Power University,Beijing 102206,China;3.College of Electronic Engineering,Chongqing University of Post and Telecommunications,Chongqing 400065,China) |
| Abstract: | Through the analysis of catastrophe phenomena of a chaotic system,two attractors in the catastrophe region which are determined by two stable fixed points are found.When the domain of attraction of one attractor is beyond the unstable fixed point＇s boundary or the supercritical domain,the system will jump to the orbit of another attractor with the system parameters＇ changing.In the region,the dynamic behaviour of the system varies with the different changing trend of the system parameter,and the behaviour can be controlled by the reasonable choice of the original values. |
| Keywords: | catastrophe system domain of attraction supercritical domain |
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