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Ways of identification of complex systems

Authors: Bol’shakov, V. I.; Volchuk, V. M.; Dubrov, Yu. I.;

Ways of identification of complex systems

Abstract

Introduction.To identify complex systems, models of different types are used depending on the goals set. The complexity of the choice of models is due to the complexity of the behavior of the systems under consideration at various times during which the basic properties of the systems can drastically change. Main part. The example of the airborne carousel E. Lorenz shows the use of fractal modelling to describe the behavior of numerically irreducible systems.It is presented an algorithm for determining the area of self-similarity of the object under consideration. According to the authors, the algorithm allows ones to reduce the probability of the object malfunctioning.Conclusions.It is considered a possibility of applying the fractal models for identification of complex systems.

Постановка проблемы. Для идентификации сложных систем используются модели различного типа в зависимости от поставленных целей. Сложность выбора моделей обусловлена сложностью поведения рассматриваемых систем в различные моменты времени, в течение которого могут кардинально изменяться их основные свойства. Основная часть. На примере воздушной карусели Э. Лоренца показано применение фрактального моделирования для описания поведения численно неприводимых систем. Приведен алгоритм определения области самоподобия для исследуемого объекта, что, по мнению авторов, позволяет снизить вероятность нарушения штатного режима его работы.Выводы. Рассмотрены возможности применения фрактальных моделей для идентификации сложных систем.

Постановка проблеми. Для ідентифікації складних систем використовуються моделі різного типу залежно від поставлених цілей. Складність вибору моделей зумовлена складністю поведінки розглянутих систем у різні моменти часу, протягом якого можуть кардинально змінюватися їх основні властивості. Основна частина. На прикладі повітряної каруселі Е. Лоренца показано застосування фрактального моделювання для опису поведінки чисельно незвідних систем. Наведено алгоритм визначення області самоподібності для досліджуваного об'єкта, що, на думку авторів, дозволяє знизити ймовірність порушення штатного режиму його роботи. Висновки. Розглянуто можливості застосування фрактальних моделей для ідентифікації складних систем.

Keywords

математична модель; складна система; карусель Лоренца; фрактал; область самоподібності; атомний реактор, фрактал, атомний реактор, математическая модель, сложная система, математична модель, self-similarity area, складна система, карусель Лоренца, атомный реактор, complex system, fractal, область самоподобия, nuclear reactor, математическая модель; сложная система; карусель Лоренца; фрактал; область самоподобия; атомный реактор, mathematical model; complex system; Lorentz carrousel; fractal; self-similarity area; nuclear reactor, mathematical model, Lorentz carrousel, область самоподібності

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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