LAHODA Jiří Charles University in Prague

Mathematical Modelling of Ultra-Fine Grained Material as a Discrete-Time Chaotic System

Co-authors ZEMKO Michal

Strongly nonlinear dynamic systems with suitable parametrization can exhibit chaotic oscillations. These irregular oscillations have bounded amplitude but no period. Therefore it is natural to use them for modelling irregularities in microscopic structure of metals. In this work, discrete-time chaotic systems of fourth order with switching were synthetized. A sequence of numbers generated by these systems were used for definition of metal grains properties such as their size and position on the surface. Individual particles properties were modified by the chaotic system as well. Obtained mathematical model is compared with results of fine-grained titanium specimen observation and measuring.

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