Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics |
| |
Authors: | Berger Carolyn M Zhao Xiaopeng Schaeffer David G Dobrovolny Hana M Krassowska Wanda Gauthier Daniel J |
| |
Institution: | 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. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|