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Period-doubling bifurcation to alternans in paced cardiac tissue: crossover from smooth to border-collision characteristics.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Berger, Carolyn J. M. Zhao, Xiaopeng Schaeffer, David G. Dobrovolny, Hana M. Krassowska, Wanda Gauthier, Daniel J. |
| Copyright Year | 2007 |
| 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. |
| Starting Page | 058101 |
| Ending Page | 058101 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.1103/PhysRevLett.99.058101 |
| PubMed reference number | 17930795 |
| Journal | Medline |
| Volume Number | 99 |
| Issue Number | 5 |
| Alternate Webpage(s) | http://www.phy.duke.edu/~qelectron/pubs/PRL99_058101_2007.pdf |
| Alternate Webpage(s) | http://web.utk.edu/~xzhao9/research/papers/berger2007PRL.pdf |
| Alternate Webpage(s) | http://webhome.phy.duke.edu/~qelectron/pubs/ubcb_frog.pdf |
| Alternate Webpage(s) | https://doi.org/10.1103/PhysRevLett.99.058101 |
| Journal | Physical review letters |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
