Announcement of Report: A.V. Makarenko, The TQ-bifurcations and generation of the T8N, T8P symbols
In this paper, the theme of TQ-bifurcations in discrete dynamical systems defined by discrete maps continues to develop. The specificity and the necessary conditions for the appearance of T8N and T8P symbols in the trajectories of discrete mappings are studied. These symbols are a transitional link between the equilibrium point of the dynamic system (symbol T0) and its non-trivial dynamics. Thus, this question is directly related to the study of the effects of spontaneous loss of equilibrium in discrete dynamical systems. As the methodical examples, the simplest model of signal sampling (Poincare stroboscopic mapping) and a recurrent neural network are considered.
The report was accepted for presentation at 6th Regular European Workshops Nonlinear Maps and Their Applications, Russia, Nizhni Novgorod, on June 28–30, 2017. The conference is held under auspices of the Steklov Mathematical Institute of the Russian Academy of Sciences. Read more: www.noma2017.unn.ru.
31 March 2017.
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