Browsing by Author "Zaytsev, V. G."

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    Recurrence Analysis of Time Series Generated by 3D Autonomous Quadratic Dynamical System Depending on Parameters
    (Дніпропетровський національний університет імені Олеся Гончара, 2016) Belozyorov, Vasiliy Ye.; Zaytsev, V. G.
    EN: For the wide class of 3D autonomous quadratic dynamical systems depending on parameters the sufficient conditions of boundedness of solutions of any system from this class are found. A connection between change of one of the parameters and a recurrence plot structure, which was built on the time series for any system of this class, is determined. Due to this connection it is possible to find bifurcation values of the parameter of any system from the considered class only on its time series without knowledge of differential equations of this system. Examples are given.