| 复杂网络上动力系统同步的研究进展 |
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| 引用本文： | 赵明,汪秉宏,蒋品群,周涛.复杂网络上动力系统同步的研究进展[J].物理学进展,2005,25(3):273-295. |
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| 作者姓名： | 赵明 汪秉宏 蒋品群 周涛 |
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| 作者单位： | 中国科学技术大学近代物理系,合肥,230026 |
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| 基金项目： | 国家基础研究发展计划(973项目)，国家自然科学基金(编号:70271070,10472116)，高等教育博士点专项基金(编号:SRFDP20020358009)的资助 |
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| 摘 要： | 本文简要介绍复杂网络的基本概念并详细总结了近年来复杂网络上动力学系统的同步的研究进展，主要内容有复杂网络同步的稳定性分析，复杂网络上动力学系统同步的特点，网络的几何特征量对同步稳定性的影响，以及提高网络同步能力的方法等。最后文章提出了这一领域的几个有待解决的问题及可能的发展方向。
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| 关 键 词： | 复杂网络 同步 小世界网络 无标度网络 |
| 文章编号： | 1000-0542（2005）03-0273-23 |
| 收稿时间： | 2005-07-05-21 |
| 修稿时间： | 2005年7月21日 |
RECENT ADVANCEMENT IN RESEARCH OF SYNCHRONIZATION OF DYNAMICAL SYSTEMS ON COMPLEX NETWORKS |
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| ZHAO Ming,WANG Bing-hong,JIANG Pin-Qun,ZHOU Tao.RECENT ADVANCEMENT IN RESEARCH OF SYNCHRONIZATION OF DYNAMICAL SYSTEMS ON COMPLEX NETWORKS[J].Progress In Physics,2005,25(3):273-295. |
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| Authors: | ZHAO Ming WANG Bing-hong JIANG Pin-Qun ZHOU Tao |
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| Abstract: | In this article, the basic concept about complex networks has been introduced and a review on the recent studies of synchronization of coupled dynamical systems based on complex networks has been presented. We discuss mainly the stability analysis of dynamical networks, the characteristics of synchronization of dynamical systems on complex networks, the effects of geometrical structure of complex networks on the stability of synchronization, and also propose some methods to enhance the ability of complex network synchronization. Finally, some open questions are given for further investigation, and the possible developing direction and its perspectives are estimated. |
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| Keywords: | complex networks synchronization small world networks scale-free networks |
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