| 含一个非线性项混沌系统的线性控制及反控制 |
| |
| 引用本文： | 吴然超,郭玉祥.含一个非线性项混沌系统的线性控制及反控制[J].物理学报,2010,59(8):5293-5298. |
| |
| 作者姓名： | 吴然超 郭玉祥 |
| |
| 作者单位： | 安徽大学数学科学学院,合肥 230039 |
| |
| 基金项目： | 国家自然科学基金(批准号:10471059),安徽省自然科学基金(批准号:070416225),安徽省高校省级自然科学基金重点项目(批准号:KJ2010A035,KJ2008A025),高等学校博士学科点专项科研基金(批准号:20093401120001)资助的课题. |
| |
| 摘 要： | 研究了一类仅含一个非线性项混沌系统的线性控制与反控制,根据Routh-Hurwitz稳定性条件,先对这类混沌系统进行控制,使其达到稳定的状态,然后改变控制系数,使其再次产生混沌,得到一个新的混沌系统,并对这个新的混沌系统的基本动力学行为进行了分析,数值仿真也验证了新系统的混沌性态.
|
| 关 键 词： | 混沌系统 线性控制 分岔 Lyapunov指数 |
| 收稿时间： | 2009-11-12 |
Linear control and anti-control of chaotic systems with only one nonlinear term |
| |
| Wu Ran-Chao,Guo Yu-Xiang.Linear control and anti-control of chaotic systems with only one nonlinear term[J].Acta Physica Sinica,2010,59(8):5293-5298. |
| |
| Authors: | Wu Ran-Chao Guo Yu-Xiang |
| |
| Institution: | School of Mathematics,Anhui University,Hefei 230039,China;School of Mathematics,Anhui University,Hefei 230039,China |
| |
| Abstract: | The linear control and the anti-control of a class of chaotic systems with only one nonlinear term are studied. Based on the Routh- Hurwitz stability condition,the chaotic system is controlled and the stable state is reached. Then,the chaotic state is recovered through changing controlled coefficient and a new chaotic system follows. The basic dynamical behavior of the new chaotic system is investigated and numerical simulation shows the chaotic nature of this new system. |
| |
| Keywords: | chaotic system chaos control bifurcation Lyapunov exponents |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
|
