Announcement of Report: A. V. Makarenko, The TQ-bifurcation in Discrete Dynamical Systems. General Properties.
A new class of bifurcations has been defined in discrete dynamical systems determined by discrete maps. This paper focuses on TQ-bifurcations that manifest as qualitative change of map trajectory shapes in the extended space of states. We have described the main properties of the TQ-bifurcations, classified them and proposed methods to diagnose them. An analysis of a logistic map has been carried out.
The report was accepted for XIII International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference) , Russia, Moscow, on June 1–3, 2016. The conference is held under auspices of the ICS RAS and IEEE (Russia section). Read more: stab16.ipu.ru.
26 April 2016.
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