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Conferencias impartidas por Olha Zalevska

Geometric Modelling of nonlinear dynamics processes by fractal approximation methods

National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Small variations of nonlinear dynamics by means of geometric modeling are investigated. Visualization of the dynamic process is reproduced using three-dimensional cellular automata. The dependences of the transition positions of the dynamic system between the chaotic and stable states are established. Theoretical aspects of geometric fractal approximation of the dynamic process, criteria for establishing the stable state of the system, geometric fractal derivatives and integration are considered.

Olha Zalevska

National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” (Ucrania)

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