Geodesic
Blue sky catastrophe as applied to modeling of cardiac rhythms
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 7, pp. 1136-1155 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new mathematical model for the electrical activity of the heart is proposed. The model represents a special singularly perturbed three-dimensional system of ordinary differential equations with one fast and two slow variables. A characteristic feature of the system is that its solution performs nonclassical relaxation oscillations and simultaneously undergoes a blue sky catastrophe bifurcation. Both these factors make it possible to achieve a phenomenological proximity between the time dependence of the fast component in the model and an ECG of the human heart. 
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Blue sky catastrophe as applied to modeling of cardiac rhythms. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 7, pp. 1136-1155. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_7_a4/

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