Kokhan S. Statistical theory of self-similar systems with different flow mixing in the phase space

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002361

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

17-05-2006

Specialized Academic Board

Д 64.169.01

Institute for single crystals NASU

Essay

The object of investigation is the process of flow mixing in the phase space. The subjects of research are the self-organizing systems, stochastic systems wich display phase transitions and time series. The self-similarity conditions of the state space for self-organization systems are defined. The set of equations describing behavior of the system is obtained. It is shown that the macroscopic characteristics of time series are defined by the temperature which is connected with the fractal dimensionality exponentially.

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