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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Synchronization of the Cardiac Pacemaker Model with Delayed Pulse-coupling

Discontinuity, Nonlinearity, and Complexity 3(1) (2014) 19--31 | DOI:10.5890/DNC.2014.03.002

M. Akhmet

Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey

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Abstract

We reconsider the C. Peskin model of the cardiac pacemaker assuming that pulse-couplings are delayed. Sufficient conditions for synchronization of identical and non-identical oscillators are obtained. The results are demon- strated with numerical simulations.

Acknowledgments

The author wishes to express his sincere gratitude to the referee for the helpful criticism and valuable suggestions. This research was supported by a grant (111T320) from TUBITAK, the Scientific and Technological Research Council of Turkey.

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