Genesis of equifinality and multifinality of open systems

Andrei Armovich Gribkov
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Abstract

The subject of research in the article are the properties of equifinality and multifinality of open systems, widely spread in all subject areas, at all levels of organization: in physical, chemical, biological, economic, social, etc. open systems. Equifinality is a dynamic property of a system that realizes movement (transition) in different ways from different initial states to the same final state. Multifinality is the dynamic property of a system to reach fundamentally different final states under insignificant changes in initial conditions. Examples of realization of the properties of equifinality and multifinality in systems of different nature: physical, biological, economic are considered. The genesis of these properties is investigated. On the basis of the study of the genesis of the properties of equifinality and multifinality its commonality is revealed: both properties are a consequence of the transformation of quasi-continuous quantitative changes into discrete qualitative forms, as well as the limited variety of these forms caused by isomorphism. The origin of the multiplicativity property (increased sensitivity to variation of input parameters) and its difference from multifinality are revealed. The multiplicativity property is manifested in systems with unequal stability, including those possessing positive feedback mechanisms. In some systems, such as meteorological mathematical models, the properties of multiplicativity and multifinality appear simultaneously and cannot be unambiguously distinguished.
开放系统的等边性和多重性的起源
文章的研究课题是开放系统的等效性和多重性,它们广泛存在于所有学科领域、所有组织层次:物理、化学、生物、经济、社会等开放系统。等效性是系统的一种动态特性,它以不同的方式实现从不同初始状态到相同最终状态的运动(过渡)。多重性是一个系统在初始条件发生微小变化的情况下达到根本不同的最终状态的动态特性。本文列举了在物理、生物和经济等不同性质的系统中实现等效性和多重性的实例。研究了这些特性的起源。在研究等效性和多重性的成因的基础上,揭示了它们的共性:这两种特性都是准连续量变转化为离散质变形式的结果,以及同构造成的这些形式的有限多样性。多重性属性(对输入参数变化的敏感性增强)的起源及其与多重性的区别也被揭示出来。多重性表现在稳定性不平等的系统中,包括那些具有正反馈机制的系统。在某些系统中,如气象数学模型,倍增性和多重性同时出现,无法明确区分。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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