30 citations · 60 across the 3 of their papers we have counts for
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nlin.PS2015★ 15 cited
Semi-analytical approach to criteria for ignition of excitation waves
B. Bezekci, I. Idris, R. D. Simitev +1
We consider the problem of ignition of propagating waves in one-dimensional bistable or excitable systems by an instantaneous spatially extended stimulus. Earlier we proposed a met…
nlin.PS2008★ 30 cited
An analytical approach to initiation of propagating fronts
I. Idris, V. N. Biktashev
We consider the problem of initiation of a propagating wave in a one-dimensional excitable fibre. In the Zeldovich-Frank-Kamenetsky equation, a.k.a. Nagumo equation, the key role i…
nlin.PS2007★ 15 cited
Critical fronts in initiation of excitation waves
I. Idris, V. N. Biktashev
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 ``…