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Seminar on Modern Problems of Complex Analysis (Sadullaev Seminar)
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Dynamical systems of discontinuous quadratic stochastic operators J. B. Usmonov V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan |
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Abstract: In the talk we investigate dynamical systems generated by discontinuous quadratic stochastic operators (QSO). In particular, we investigate the dynamical system of two-dimensional quadratic stochastic operator by reducing it to one-dimensional map with one discontinuity point. Using the Lyapunov exponent, we show that the system is chaotic and present bifurcation diagrams for some values of parameters. Moreover, we consider three-dimensional discontinuous QSO and for some parameter values, we describe the set of limit points. Website: https://us02web.zoom.us/j/8022228888 |
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