A Possible Approach to the Framework of the Fundamental Theory of System Science: Part Four
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(之四)--从韦达定理与控制论到突变论、分歧、混沌、分形、耗散结构论、协同论以及与统计物理学的关系

A qualitative and quantitative framework for the fundamental theory of systemsc iences as well as some details is given on the basis of some new experimental evidences, ideas 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 forth part of the paper. A road from Vita theorem and control theory to catastrophe, bifurcation, chaos, fractal, dissipative structure and synergetics as well as its relation to statistical physics is discussed.