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A Possible Approach to the Framework of the Fundamental Theory of System Science: Part Seven
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(之七)--离散动力系统的密度演化与序列的信息结构

Keywords: fundamental theory of system sciences,framework,density evolution,stationary density,non,stationarity measure,information structure
系统科学基础理论
,框架,密度演化,平稳密度,非平稳度,信息结构

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Abstract:

A qualitative and quantitative framework for the fundamental theory of system sciences 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 nodoubt that all the works are to be considered in detail, although we have some rigorous results in particular steps. It is the seventh part of the paper. The density evolution of discrete dynamical system and the non\|stationarity measure of sequence as well as their application to decision making are discussed.

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