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Phys Rev Lett. 2007 Aug 3;99(5):058101. Epub 2007 Jul 30.

Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics.

Author information

1
Department of Physics, Duke University, Durham, North Carolina 27708, USA.

Abstract

We investigate, both experimentally and theoretically, the period-doubling bifurcation to alternans in heart tissue. Previously, this phenomenon has been modeled with either smooth or border-collision dynamics. Using a modification of existing experimental techniques, we find a hybrid behavior: Very close to the bifurcation point, the dynamics is smooth, whereas further away it is border-collision-like. The essence of this behavior is captured by a model that exhibits what we call an unfolded border-collision bifurcation. This new model elucidates that, in an experiment, where only a limited number of data points can be measured, the smooth behavior of the bifurcation can easily be missed.

PMID:
17930795
PMCID:
PMC2447673
DOI:
10.1103/PhysRevLett.99.058101
[Indexed for MEDLINE]
Free PMC Article

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