复杂系统变迁分析力学的交叉集成变量及微分方程

Interdisciplinary-integrative Variable and Differential Equtioon of Change Analytical Mechanics for Complex Systems

对于包括质量、能量、信息以及知识和智能等资源的复杂系统,给出三个可分别称为"资源集成结点""集成配置结点"和"智能组织结点"的新型基本模型,并将它们归结为一个可称为"交叉集成结点"的基本模型,以便对各种不同类型的资源和组份进行统一度量。在此基础上,在用于分析配置结点(或组织结点)确定性运动的分析力学相空间和用于分析资源结点(或配置结点)随机性分布运动的统计力学相空间之间,引入用于对复杂系统的整体运动、自身发展和总体变迁进行交叉研究的集成相空间,最后探讨建立复杂系统的变迁过程交叉集成动力学基本函数和方程。

For the complex system containing the resources of mass, energy, information and knowledge as well intelligence etc, these three new basic models which may be called separately “the resources- integrative node”, “the integrative-disposal node” and “the intelligence-organizing node” are put forth in this paper, and put in a new basic model which may be called “the interdisciplinary-integrative node”. On this basis, between the phase space of analytical mechanics for the analysis on the determined motion of the disposal node or organization node and the phase space of statistical mechanics for the analysis on the stochastic motion of the distribution of an ensemble, the phase- integrated space for the interdisciplinary research on the whole motion and itself development as well overall change of a complex system is set. Finally it is approached in this paper to set the basic function and equation of the cross-integrating dynamics for the overall change process of complex system.