| 用常数周期脉冲方法控制耦合标准映象的混沌 |
| |
| 引用本文： | 许海波,王光瑞,陈式刚. 用常数周期脉冲方法控制耦合标准映象的混沌[J]. 计算物理, 2003, 20(1): 31-36 |
| |
| 作者姓名： | 许海波 王光瑞 陈式刚 |
| |
| 作者单位： | 北京应用物理与计算数学研究所,北京,100088;北京应用物理与计算数学研究所,北京,100088;北京应用物理与计算数学研究所,北京,100088 |
| |
| 基金项目： | SupportedbytheSpecialFundsforMajorStateBasicResearchProjects,theNationalNaturalScienceFoundationofChinaunderGrantNo.1983 5 0 2 0and 1992 0 0 0 3,andScienceFoundationofChinaAcademyofEngineeringPhysicsunderGrantNo .2 0 0 0 0 44 0 |
| |
| 摘 要： | 将用常数周期脉冲方法控制保守系统的混沌运动的方法,用于控制高维系统耦合标准映象的混沌运动,计算了系统参数k=0.8和耦合常数β=0.04的有限时间李雅普诺夫指数,考察了不同系统参数和耦合常数下的有限时间李雅普诺夫指数随迭代次数的演化规律,从各次迭代的有限时间收敛区选择满足期望动力学特征的轨道片段,施加适当的脉冲强度找出其对应的周期不动点,从而得到期望的周期转道。
|
| 关 键 词： | 有限时间李雅普诺夫指数 混沌控制 轨道片段 加性噪声 |
Controlling Chaos by the Constant Periodic Pulse Method in Two Coupled Standard Maps |
| |
| Abstract. Controlling Chaos by the Constant Periodic Pulse Method in Two Coupled Standard Maps[J]. Chinese Journal of Computational Physics, 2003, 20(1): 31-36 |
| |
| Authors: | Abstract |
| |
| Abstract: | A constant periodic pulse method for controlling chaos which makes the stable segment of the chaotic orbit form a closed orbit by acting periodic pulses on the system variables is proposed on the basis of the finite time Lyapunov exponents. This method is applied to a high dimensional system with two coupled standard maps. In addition to the results obtained in the low dimensional systems, the stabilized periodic orbit whose period is a multiple of the pulse interval is also found. This is one of the characters of the periodic pulse method. This method is robust under the presence of weak external noise. |
| |
| Keywords: | finite time Lyapunov exponents chaos control stable segment additive noise |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
