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| 内共振系统的混沌同步现象 | |
| 引用本文： | 毕勤胜,邹 勇,刘曾荣,陈关荣.内共振系统的混沌同步现象[J].控制理论与应用,2004,21(6):932-934. |
| 作者姓名： | 毕勤胜 邹 勇 刘曾荣 陈关荣 |
| 作者单位： | 1. 江苏大学,理学院,江苏,镇江,212013 2. 上海大学,数学系,上海,200436 3. 香港城市大学,电子工程系,香港 |
| 基金项目： | 国家自然科学基金项目 (10372037;20476041); 江苏省自然科学基金项目 (BK2002401) |
| 摘 要： | 研究了两耦合混沌系统之间 2∶1内共振条件下的相位混沌同步现象 ,发现随着耦合程度的增加 ,系统会进入相位混沌同步 .当耦合程度的增加到一定值时 ,相位混沌同步现象消失 .通过计算相应的Lyapunov指数 ,发现相位混沌同步现象的产生与消失与耦合系统的Lyapunov指数之间存在一定的关系 |
| 关 键 词： | 内共振 相位混沌同步 Lyapunov指数 |
| 文章编号： | 1000-8152(2004)06-0932-03 |
Phase synchronization of two coupled chaotic systems with internal resonance |
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| BI Qin-sheng,ZOU Yong,LIU Zeng-rong,CHEN Guan-rong.Phase synchronization of two coupled chaotic systems with internal resonance[J].Control Theory & Applications,2004,21(6):932-934. | |
| Authors: | BI Qin-sheng ZOU Yong LIU Zeng-rong CHEN Guan-rong |
| Affiliation: | Faculty of Science,Jiangsu University,Zhenjiang Jiangsu 212013,China; Department of Mathematics,Shanghai University,Shanghai 200436,China; Department of Electrical Engineering,City University of Hong Kong,Hong Kong |
| Abstract: | Phase synchronization of two coupled chaotic systems with 2:1 internal resonance is studied.It demonstrats that,with the increase of coupling strength,the system leads to phase synchronization.However,when further increasing the coupling strength to a threthold,the phenomenon of phase synchronization disappears.By calculating the Lyapunov exponents,it is found that phase synchronization is related to the change of the values of the Lyapunov exponents. |
| Keywords: | internal resonance phase chaotic synchronization Lyapunov exponent |
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