In this work, we consider the problem of existence of discrete Lorenz attractors in the nonholonomic model of a Celtic stone. To this end, the main local and global bifurcations leading to the appearance and destruction of the attractors are studied in two-parameter families of such models of certain types. The corresponding bifurcation diagram, in which the region of existence of a discrete Lorenz attractor is shown and its boundaries are described, is obtained on the plane of the governing parameters (the angle of dynamic asymmetry of the stone–the total-energy value). The similarities and differences in the scenarios of the appearance of a discrete Lorenz attractor in the nonholonomic model of a Celtic stone and attractor in the classical Lorenz model are found.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 62, No. 5, pp. 412–428, May 2019.
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Gonchenko, A.S., Samylina, E.A. On the Region of Existence of a Discrete Lorenz Attractor in the Nonholonomic Model of a Celtic Stone. Radiophys Quantum El 62, 369–384 (2019). https://doi.org/10.1007/s11141-019-09984-9
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DOI: https://doi.org/10.1007/s11141-019-09984-9