A Possible Approach to the Framework of the Fundamental Theory of System Science: Part Ten
建立系统科学基础理论框架的一种可能途径与若干具体思路(之十)———复杂网络上的自组织临界性模型

A qualitative and quantitative framework for the fundamental theory of system sciences as well as some details are given on the basis of some new experimental evidence,ideals and achievements concerning evolution in many fields such as modern physics,molecule biology and brain anatomy,etc.Some concepts such as interaction,evolution,adaptability,and complexity are discussed.Intuitional annotations about catastrophe,bifurcation,attractor,chaos,fractal and synergy are also given.The essence and the value of information,and the closed relation between information and nonlinearity are investigated.It is no doubt that all the works are to be considered in detail,although we have some rigorous results in particular steps.It is the tenth part of the paper.The self organization model on complex networks is discussed by the mean field theory,and the results are compared with the numerical simulations.The avalanche dynamics of the model are investigated for different topological structures of the small world networks.Moreover,we present the essential relation between the above theory and the statistical physics.