Borysyuk V. Multifractal fluctuation analysis of the self-similar structures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U001270

Thesis Registration Form

0410U001270.pdf

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

21-01-2010

Specialized Academic Board

К 55.250.01

Institute of Applied Physics, NAS of Ukraine

Essay

For complex systems with self-similar phase space dependence of the statistical weight on the systems complexity are estimated. Analytical description of the fractal characteristics are verified by numerical modeling of the phase space. Time series are investigated on the basis of the multifractal detrended fluctuation analysis, the reasons of self-similar properties and the presents of time correlations are detected. Within the framework of multifractal analysis, the X-ray patterns of both solids and self-similar surfaces of the high-porous condensates are investigated.

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Files

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