复杂网络及其新近研究进展简介

简单地介绍了近10年来蓬勃发展的复杂网络研究新领域, 特别是其中最具代表性的随机网络、小世界网络和无尺度网络模型及其基本参数和概念, 并简要地回顾了复杂网络理论在生物和大脑神经网络、流行病传播与免疫控制、交通与社会经济、无线通讯、计算机和互联网、传感器网络、语言学与社会科学以及群体活动和编队飞行问题中的分散控制、稳定性特别是一致性问题等方面的应用趋势.

INTRODUCTION TO COMPLEX NETWORKS AND THEIR RECENT ADVANCES

This article introduces the new notion of complex networks, especially the representative models of random-graph networks, small-world networks and scale-free networks as well as related basic concepts and modeling parameters. It also briefly summarizes their applications to biological systems and neural networks, epidemic spreading and immunization over networks, transportation systems, social and economic networks, wireless communication and sensor networks. And finally it reviews the problems of distributed control, stability and consensus analysis in their applications to swarming, flocking and synchronization.