Propagation and its failure in coupled systems of discrete excitable cells

摘要: We study propagation and its failure in systems of discrete coupled excitable cells. It is shown that fails when coupling weak, but succeeds if strong enough. use a theorem Moser on maps the plane to establish existence an infinite variety stable standing solutions small. upper lower solution techniques perturbation analysis show successful strength large These results are applied cubic FitzHugh–Nagumo dynamics as well more realistic Beeler–Reuter model action potentials myocardial