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Synergetic interpretation of bifurcations of open systems

Journal: Bulletin of Prydniprovs'ka State Academy of Civil Engineering and Architecture (Vol.2019, No. 6)

Publication Date:

Authors : ;

Page : 26-31

Keywords : closed and open systems; formal axiomatics; genetic memory; lobotomy; bifurcations; regularization; incorrect tasks;

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In order to establish the causes of unexpected bifurcations of open systems, this work is presented. It is based on the corporate interaction of unidirectional open systems, an assumption is made about the reasons for their self-improvement. Main part. The identification of bifurcations of closed and open systems is considered. The prerequisites for the occurrence of incorrect bifurcations of open systems are given. In studies of closed systems, it is imperative that the conditions of structural stability to relatively small perturbations, which cannot be satisfied when identifying open systems, are met. Self-improvement of open systems occurs due to the exchange of information with the external environment. Based on the assumption that the long-term memory of an open system can be considered as an external environment, the exchange of information can be considered through the cooperative interaction of an open single focus the most open system and its long-term memory. The latter leads to the formation of targeted actions that contribute to the self-improvement of an open system. An admissible regularization of a problem identified by an incorrect bifurcation of an open system is shown. The task is regularized in two stages. At the first stage, an operator is defined that regularizes the problem in the format of thinking corresponding to incorrect bifurcation. At the second stage, the solution obtained at the first stage is applied to the problem in the original format. Conclusions. It has been suggested that the occurrence of incorrect bifurcations of open systems is a result of the cooperation of the previously existing long-term memory with its present memory. These reasons indicate the incorrectness of such tasks. It is shown that the use of the logical operator allows partial regularization of such problems by identifying incorrect bifurcations. Due to the wide variety of open systems, the probability of an adequate identification of their bifurcations is obvious.

Last modified: 2020-01-23 20:19:47