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

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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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     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {Blue sky catastrophe as applied to modeling of cardiac rhythms},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1136--1155},
     publisher = {mathdoc},
     volume = {55},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_7_a4/}
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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/