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。
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.
出处
《物理学进展》
CSCD
北大核心
2005年第3期273-295,共23页
Progress In Physics
基金
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
关键词
复杂网络
同步
小世界网络
无标度网络
complex networks
synchronization
small world networks
scale-free networks
