复杂网络动力学框架的几个研究方向  

Introductions to the Complex Network Dynamics Frameworks

作　　者：官山[1] 朱陈平[2] 刘宗华[3] 汪秉宏[4] 何大韧[1] 

机构地区：[1]扬州大学物理科学与技术学院,江苏扬州225002 [2]南京航空航天大学理学院,南京210016 [3]华东师范大学理论物理研究所,上海200062 [4]中国科技大学近代物理系,合肥230026

出　　处：《复杂系统与复杂性科学》2008年第3期9-18,共10页Complex Systems and Complexity Science

基　　金：国家自然科学基金重点项目(10635040)

摘　　要：简要介绍了3个复杂网络动力学框架的研究方向:第1个方向涉及布尔网络、信息距离及其动力学描述,可以看作"先分解、后综合"的传统物理学还原论和元胞自动机模型的延伸和发展;第2个方向涉及最小作用量原理在一些类型的复杂网络系统中的新形式和新应用,可以看作传统物理学中的"大自然自组织"观点的延伸和发展;第3个方向涉及演化图的网络矩阵谱描述,可以看作传统图论的延伸和发展。This article introduces three research directions on complex network dynamics frameworks. The first direction involves Boolean networks, information distance, and the dynamic descriptions, and can be viewed as the extension and development of the reduetionism and cellular automata in the traditional physics, which means ＂decomposing first and integration second＂ The second direction involves the new expressions and new applications of the minimal total energy principle in some kinds of complex networks, and can be viewed as the extension and development of the ＂ nature self-organization＂ view point in the traditional physics. The third direction involves the network matrix spectrum descriptions on evolving graphs, and can be viewed as the extension and development of the traditional graph theory.

关 键 词：复杂网络动力学 布尔网络 最小作用量原理 演化图矩阵谱 

分 类 号：N941.4[自然科学总论—系统科学] O157.5[理学—数学]