Announcement of Report: A. V. Makarenko, Estimation complexity of chaotic oscillations in aspect of the shape of their trajectories
The report A. V. Makarenko, Estimation complexity of chaotic oscillations in aspect of the shape of their trajectories, is dedicated to solving some of the issues associated with the concept of "complexity of dynamic process".
The concept of the "complexity" of any object is its important of information-structural characteristic, and is one of the fundamental scientific concepts. Is no exception and a more narrow concept of the "complexity of dynamic process". With it linked the predictability and information capacity of processes. It is part of the many criteria for classifying the processes as deterministic, chaotic, stochastic.
In this report, we proposed an original approach to the evaluation and analysis the complexity of chaotic sequences – through the study of their structural properties in the aspect of the forms of their trajectories in the terms of symbolic CTQ-analysis (the so-called TQ-complexity). The developed tools (based on Wolfram Mathematica) allows methods of computational physics us to study various phenomena in nonlinear multi-dimensional dynamical systems (including a network of oscillators with an arbitrary topology and configuration of the lattice). Symbolic CTQ-analysis originally developed by the staff of the research group "Constructive Cybernetics".
In this paper, a numerical study the TQ-complexity of the trajectories of Rossler system, for cases band-type and screw-type chaos. The results are compared with previously obtained data on the structure of these attractors.
Report accepted for XXV IUPAP Conference on Computational Physics, Russia, Moscow, on August 20-24, 2013. The conference is held under the auspices of: Commission on Computational Physics [C20]) of International Union of Pure and Applied Physics, IUPAP, and with the support of Department of Physics RAS and Landau Institute for Theoretical Physics RAS. Read more: ccp2013.ac.ru.
03 July 2013.
News Source: Own information.
