Now showing items 1-3 of 3

  • An analytical approach to initiation of propagating fronts 

    Idris, I.; Biktashev, V. N. (American Physical Society, 2008)
    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 is played by the "critical nucleus'' solution ...
  • Critical fronts in initiation of excitation waves 

    Idris, I.; Biktashev, V. N. (American Physical Society, 2007)
    We consider the problem of initiation of propagating waves 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-) ...
  • Semianalytical approach to criteria for ignition of excitation waves 

    Bezekci, B.; Idris, I.; Simitev, R. D.; Biktashev, V. N. (American Physical Society, 2015-10-19)
    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 method [I. Idris and V. N. Biktashev, Phys. ...