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

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. © Springer-Verlag Berlin Heidelberg 2003.