Investigation of geometric shapes of hydrodynamic structures for identification of dynamical states of convective liquid

Authors:
Alexander M. Krot;Palina P. Tkachova
Affiliations:
United Institute of Informatics Problems of the National Academy of Sciences of Belarus, Minsk, Belarus;Belarusian State University, Minsk, Belarus
Venue:
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Year:
2003

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Cited 1

The development of matrix decomposition theory for nonlinear analysis of chaotic attractors of complex systems and signals

DSP'09 Proceedings of the 16th international conference on Digital Signal Processing

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Abstract

This paper investigates hydrodynamic structures as well as specific geometric structure as Lorenz attractor. Analysis of the Lorenz attractor on the basis of proposed nonlinear decomposition into matrix series is developed. This analysis permits to estimate the values of characteristic parameters (including control one) of Lorenz attractors and predict their evolution in time. This paper shows that convective motions of sea-water in a reservoir can be described by deterministic chaos law as well as fractal dimensions for both topology of motion of water in real space and of evolution in phase space.