Transitory Shift in the FitzHugh – Nagumo Model

    Received 09 February 2018; accepted 03 May 2018

    2018, Vol. 14, no. 2, pp.  169-177

    Author(s): Morozov K. E.

    A nonautonomous analogue of the FitzHugh–Nagumo model is considered. It is supposed that the system is transitory, i.e., it is autonomous except on some compact interval of time. We first study the past and future vector fields that determine the system outside the interval of time dependence. Then we build the transition map numerically and discuss the influence of the transitory shift on the solutions behavior.
    Keywords: FitzHugh – Nagumo model, transitory system, separatrix, limit cycles, attractors
    Citation: Morozov K. E., Transitory Shift in the FitzHugh – Nagumo Model, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 2, pp.  169-177

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