dorsal/arxiv
View SchemaEvidence for an unfolded border-collision bifurcation in paced cardiac tissue
| Authors | Carolyn M. Berger, Xiaopeng Zhao, David G. Schaeffer, Hana M. Dobrovolny, Wanda Krassowska, Daniel J. Gauthier |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0607019 |
| URL | https://arxiv.org/abs/q-bio/0607019 |
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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"date_created": "2026-03-02T18:01:34.950000Z",
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"abstract": "We investigate, both experimentally and theoretically, the bifurcation to\nalternans in heart tissue. Previously, this phenomenon has been modeled either\nas a smooth or as border-collision period-doubling bifurcation. Using a new\nexperimental technique, we find a hybrid behavior: very close to the\nbifurcation point the dynamics are smooth-like, whereas further away they are\nborder-collision-like. This behavior is captured by a new type of model, called\nan unfolded border-collision bifurcation.",
"arxiv_id": "q-bio/0607019",
"authors": [
"Carolyn M. Berger",
"Xiaopeng Zhao",
"David G. Schaeffer",
"Hana M. Dobrovolny",
"Wanda Krassowska",
"Daniel J. Gauthier"
],
"categories": [
"q-bio.TO"
],
"title": "Evidence for an unfolded border-collision bifurcation in paced cardiac tissue",
"url": "https://arxiv.org/abs/q-bio/0607019"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f770ad0b-ea4e-44af-8c79-b061ca1a1e3e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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