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Talk · Scientific School Dynamics of Complex Networks and their Applications · September 1, 2019

Circuit Simulation of a Blue Sky Catastrophe in the Context of Bursting Dynamics Occurrence

Elmira Bagautdinova, С. П. Кузнецов, Evgeny Petrovich Seleznev, Nataliya V. Stankevich

Abstract

The blue sky catastrophe is a typical phenomenon in slow-fast systems. One of the example of slow-fast systems are Hodgkin-Huxley-type of models, which is widely distributed in computational neuroscience. In such kind models the blue sky catastrophe describes a continuous and reversible transition between periodic bursting and tonic spiking activities. In the present paper we present a study of a model of radiophysical generator with bifurcation associated with blue sky catastrophe. Circuit simulation is implemented in the software package MultiSim.

Advanced Differential Equations and Dynamical SystemsChaos control and synchronizationNonlinear Dynamics and Pattern Formationblue sky catastrophesingularly perturbed systemsHodgkin-Huxley model

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