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Information × Registration Number 0310U002133, 0108U010157 , R & D reports Title Modeling of complexity of defect structures of radiation materials popup.stage_title Розробка чисельних алгоритмів визначення складності та межі текучості довільних ієрархічних структур дефектів Head Vorobjov Gennadij, Registration Date 08-02-2010 Organization Sumy State University popup.description2 Testing of the numerical algorithms of the complexity finding and limits of fluidity of the hierarchical defects' structures was carried out for the hierarchical tree, which allows an analytical consideration of regular, degenerate trees and Fibbonachi tree. It is shown that such analysis demands deformed algebra using, which allows the new rules of addition and multiplication. Within this approach is shown that the complexity of the regular tree and Fybbonachi tree grows exponentially with increasing number of hierarchical levels and linearly for the degenerate tree. A numerical algorithm for determining the complexity of an arbitrary self-similar tree was developed. Product Description popup.authors Борисюк Вадим Миколайович Вайленко Анна Сергіївна Шуда Ірина Олександрівна popup.nrat_date 2020-04-02 Close