Blue sky catastrophe as applied to modeling of cardiac rhythms

DOI10.1134/S0965542515070076zbMath1328.92012OpenAlexW1005329152WikidataQ59448371 ScholiaQ59448371MaRDI QIDQ500604

A. Yu. Kolesov, S. D. Glyzin, N. Kh. Rozov

Publication date: 5 October 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515070076

zbMATH Keywords

stabilityasymptotic behaviorsingularly perturbed systemrelaxation cycleblue sky catastrophemodeling of cardiac rhythms

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Physiology (general) (92C30) Biological rhythms and synchronization (92B25)

Related Items (1)

A family of models with blue sky catastrophes of different classes

Cites Work

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• Three oscillator model of the heartbeat generator
• Blue sky catastrophe in relaxation systems with one fast and two slow variables
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Blue sky catastrophes
• Separation of motions in a neighborhood of a semistable cycle
• One Method for Restoring Inhomogeneous Attractors
• On limit cycles in systems of differential equations with a small parameter in the highest derivatives

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