Informational and entropic criteria of self-organization

The work is devoted to study of the following problem: can we use any qualitative criteria for realization of such universal phenomenon as self-organization in open systems? We have defined values of information at fixed points of probability function of density of information and entropy. Physical...

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Bibliographic Details
Published inarXiv.org
Main Authors Zhanabaev, Zeinulla Zh, Kozhagulov, Yeldos T, Khokhlov, Serik A
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.10.2016
Subjects
Criteria
Entropy (Information theory)
Fixed points (mathematics)
Open systems
Self-similarity
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Summary:The work is devoted to study of the following problem: can we use any qualitative criteria for realization of such universal phenomenon as self-organization in open systems? We have defined values of information at fixed points of probability function of density of information and entropy. Physical meaning of these values as criteria of self-affinity and self-similarity in chaotic processes have been explained. We have shown that self-organization occurs if normalized information entropy S belongs to the range 0.567<S<0.806. The validity of these findings is confirmed by calculation of value of S for hierarchical sets of well-known fractals.
ISSN:2331-8422