Evidence for an unfolded border-collision bifurcation in paced cardiac tissue
Carolyn M. Berger, Xiaopeng Zhao, David G. Schaeffer, Hana M. Dobrovolny, Wanda Krassowska, Daniel J. Gauthier
Abstract
We investigate, both experimentally and theoretically, the bifurcation to alternans in heart tissue. Previously, this phenomenon has been modeled either as a smooth or as border-collision period-doubling bifurcation. Using a new experimental technique, we find a hybrid behavior: very close to the bifurcation point the dynamics are smooth-like, whereas further away they are border-collision-like. This behavior is captured by a new type of model, called an unfolded border-collision bifurcation.
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