The spatiotemporal dynamics of cardiac tissue is an active area of research for biologists, physicists, and mathematicians. Of particular interest is the study of period-doubling bifurcations and chaos due to their link with cardiac arrhythmogenesis. In this paper, we study the spatiotemporal dynamics of a recently developed model for calcium-driven alternans in a one dimensional cable of tissue. In particular, we observe in the cable coexistence of regions with chaotic and multi-periodic dynamics over wide ranges of parameters. We study these dynamics using global and local Lyapunov exponents and spatial trajectory correlations. Interestingly, near nodes—or phase reversals—low-periodic dynamics prevail, while away from the nodes, the dynamics tend to be higher-periodic and eventually chaotic. Finally, we show that similar coexisting multi-periodic and chaotic dynamics can also be observed in a detailed ionic model.
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December 2014
Research Article|
November 14 2014
Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans
Per Sebastian Skardal;
Per Sebastian Skardal
a)
1Departament d'Enginyeria Informàtica i Matemàtiques,
Universitat Rovira i Virgili
, 43007 Tarragona, Spain
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Juan G. Restrepo
Juan G. Restrepo
b)
2Department of Applied Mathematics,
University of Colorado
, Boulder, Colorado 80309, USA
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a)
Electronic mail: skardals@gmail.com
b)
Electronic mail: juanga@colorado.edu
Chaos 24, 043126 (2014)
Article history
Received:
August 21 2014
Accepted:
November 03 2014
Citation
Per Sebastian Skardal, Juan G. Restrepo; Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans. Chaos 1 December 2014; 24 (4): 043126. https://doi.org/10.1063/1.4901728
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