2006/07/13 by Carolyn Berger, Carolyn M. Berger, Xiaopeng Zhao +10 · 3 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Artificial intelligence #Bifurcation #Bifurcation theory #Collision #Complex Systems and Time Series Analysis #Computer science #Control theory (sociology) #Geometry #Mathematics #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Period-doubling bifurcation #Physics #Point (geometry) #Saddle-node bifurcation #Theoretical and Computational Physics #Transcritical bifurcation #q-bio.TO
paper · pdf · doi:10.48550/arxiv.q-bio/0607019
published in arXiv (Cornell University) (Cornell University)
arxiv created 2006/07/13 · openalex publication_date 2006/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.