Forced entrainment and elimination of spiral waves for the FitzHugh-Nagumo equation

Hidetsugu Sakaguchi, Takefumi Fujimoto

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    Abstract

    We study some effects of spatial inhomogeneity and external forcing on spiral waves in the FitzHugh-Nagumo equation and attempt in a numerical investigation to eliminate spiral patterns using "entrainment" and "trapping". We find that a target pattern generated by circular fast pacemaker region can overwhelm a spiral pattern and eliminate spiral waves. We also find that a spiral pattern can be trapped in a less excitable region. Through control of this less excitable region, a pair of spirals can be annihilated. In addition, it is shown that spiral waves are entrained and disappear under a spatially uniform periodic forcing if the forcing is sufficiently strong. We discuss two mechanisms causing complete entrainment.

    Original languageEnglish
    Pages (from-to)241-252
    Number of pages12
    JournalProgress of Theoretical Physics
    Volume108
    Issue number2
    DOIs
    Publication statusPublished - Aug 1 2002

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    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy (miscellaneous)

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