Critical fronts in initiation of excitation waves

Details Critical fronts in initiation of excitation waves Critical fronts in initiation of excitation waves

2007-03-24

arxiv.org/abs/nlin/0703045v3

Nonlinear Sciences

Pattern Formation and Solitons

Six pages, five figures. This is the version that was resubmitted to Phys Rev E on June 13, 2007

Scientific paper

10.1103/PhysRevE.76.021906

We consider the problem of initiation of propagating wave in a one-dimensional excitable fiber. In the FitzHugh-Nagumo theory, the key role is played by ``critical nucleus'' and ``critical pulse'' solutions whose (center-)stable manifold is the threshold surface separating initial conditions leading to propagation and those leading to decay. We present evidence that in cardiac excitation models, this role is played by ``critical front'' solutions.

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