Dai, ShuSchaeffer, David G2011-04-152011-04-152010Dai,Shu;Schaeffer,David G.. 2010. Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans. Chaos 20(2): 23131-23131.1054-1500https://hdl.handle.net/10161/3362Instabilities in cardiac dynamics have been widely investigated in recent years. One facet of this work has studied chaotic behavior, especially possible correlations with fatal arrhythmias. Previously chaotic behavior was observed in various models, specifically in the breakup of spiral and scroll waves. In this paper we study cardiac dynamics and find spatiotemporal chaotic behavior through the Echebarria-Karma modulation equation for alternans in one dimension. Although extreme parameter values are required to produce chaos in this model, it seems significant mathematically that chaos may occur by a different mechanism from previous observations. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456058]en-USventricular-fibrillationstrange attractorsspatiotemporal chaosexcitable mediaspiral breakupturbulencemodeldynamicsrestitutionpotentialsmathematics, appliedphysics, mathematicalJournal article