复杂系统全协同动力学基本方程和函数

引入资源配置空间,并区分资源结点和配置结点;通过引入配置紧度、赋权配置紧度以及配置容量,对于配置结点给出资源荷载的计算;通过在资源配置空间对于资源结点引入与Lyapunov指数有关的非均匀度h(ρ)、与宏观均匀度有关的粗粒熵S(ρε)以及与非线性非平衡态有关的统一熵HM,I的二阶导数.建立全息协同配置基本方程和全息协同运动基本方程,并引入全息协同配置基本函数和全息协同运动基本函数;在此基础上,引入广义全协同配置动量,建立全协同配置正则方程和全协同配置正则函数;最后,初步形成全协同配置体系基本动力学原理.

Equation and Function of Holo-synergetic Dynamics of Complex Systems

As the basis of the holo-synergetics on complex systems, holo-synergetic dynamics puts all the processes of movement and change as well as evolution in the disposition process of resources. The disposition space of resource is brought in this paper, and then the resource node and the nodal point of disposition are distinguished; through the bring-in of the disposition tautness and disposition-weighted tautness and disposition capacity, the computation of resource charge is put forth to the nodal point of di...