大协同系统及其进化方程和支配原理

Large Synergic System and Its EVoiution Equation and Dominate Principle

我们可将“协同性”分为三个层次:(Ⅰ)系统内子系统之间的合作;(Ⅱ)自组织与它组织之间的协调、统一;(Ⅲ)在“系统—环境”体系与环境外大系统关系中广泛存在的自发过程与非自发过程之间、可逆过程与不可逆过程之间、自组织与它组织之间的大协同。为探讨大协同性,本文利用延拓的Lp空间引入共引致映照,并在Lipschitz共引致条件下给出大协同性的定义;初步建立大协同系统进化方程,从而拓广支配原理。

For explores the large syuergety between spontaneous process and non-spontaneous, reversible process and non-reversible and between self-organic process and it-organic which widely exist in the relation of the 'system-environment' system and the large system outside the environment, this paper introduces the difinition of co-dominance reaping by the use of prolongate L_p space, and then find larger analytic frame. This paper preliminaryly explores the basic path to the research on major synergy and introduces a kind of definitions of major synergy by the use of co-dominant condition of Liapunov. Besides, this paper preliminaryly establishes the evolution euation of large synergic system, and then extend the dominate principle.