An index theorem for systems of difference operators on a half space
Some examples of singularities in a free boundary
Bifurcations in a modulation equation for alternans in a cardiac fiber
While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may lose stability,...
-algebras of operators on a half-space, II. Index theory
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