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


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Berger, CM; Zhao, X; Schaeffer, DG; Dobrovolny, HM; Krassowska, W; Gauthier, DJ

Published Date

  • August 2007

Published In

Volume / Issue

  • 99 / 5

Start / End Page

  • 058101 -

PubMed ID

  • 17930795

Pubmed Central ID

  • 17930795

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.99.058101


  • eng