| 超混沌Chen系统和超混沌Roessler系统的异结构同步 |
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| 引用本文： | 蔡国梁,黄娟娟.超混沌Chen系统和超混沌Roessler系统的异结构同步[J].物理学报,2006,55(8):3997-4004. |
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| 作者姓名： | 蔡国梁 黄娟娟 |
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| 作者单位： | [1]江苏大学理学院,镇江212003 [2]盐城师范学院数学系,盐城224002 |
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| 基金项目： | 国家自然科学基金（批准号：70571030）资助的课题. |
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| 摘 要： | 用两种不同的方法——主动控制同步法和自适应控制同步法实现超混沌Chen系统和超混沌Roessler系统的异结构同步，各自设计了不同的控制器，使得响应系统与驱动系统同步．当参数已知时，采用主动控制法，方法简单有效且不需要构造Lyapunov函数，实现同步的时间短；当系统参数未知或结构不确定时，基于Lyapunov稳定性理论，给出自适应同步控制器的系统设计过程和参数自适应律，使得系统达到同步同时识别未知参数，数值模拟验证了两种方法的有效性。
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| 关 键 词： | 超混沌Chen系统 超混沌Roessler系统 主动控制同步 自适应同步 |
| 收稿时间： | 01 16 2006 12:00AM |
| 修稿时间： | 2006-01-162006-04-12 |
Synchronization for hyperchaotic Chen system and hyperchaotic Roessler system with different structure |
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| Cai Guo-Liang, Huang Juan-Juan.Synchronization for hyperchaotic Chen system and hyperchaotic Roessler system with different structure[J].Acta Physica Sinica,2006,55(8):3997-4004. |
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| Authors: | Cai Guo-Liang Huang Juan-Juan |
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| Abstract: | In this paper two different methods active control synchronization method and adaptive synchronization method are presented to study hyperchaotic Chen system and hyperchaotic Roessler system with different structure. Two different controllers are designed for synchronizing response system and drive system. When the parameters are known in advance, active control synchronization is adopted, the method is simple without constructing Lyapunov function and the time which realizes synchronization is short, when the parameters are fully unknown, the analytical expression of synchronization controller and adaptive law of parameters is given based on Lyapunov stability theory, which makes the different systems reach to synchronization and identifies the unknown parameters. Numerical simulation shows the effectiveness and feasibility of these two methods. |
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| Keywords: | hyperchaotic Chen system hyperchaotic Roessler system active control synchronization adaptive synchronization |
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