Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2007-03-24
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.
Biktashev Vadim N.
Idris I.
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