Forced Entrainment and Elimination of Spiral Waves for the FitzHugh-Nagumo Equation | Zendy

Hidetsugu Sakaguchi | Zendy; Takefumi Fujimoto | Zendy

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Forced Entrainment and Elimination of Spiral Waves for the FitzHugh-Nagumo Equation

Author(s) -

Hidetsugu Sakaguchi,

Takefumi Fujimoto

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.108.241

Subject(s) - spiral wave , entrainment (biomusicology) , physics , spiral (railway) , forcing (mathematics) , mechanics , excitable medium , pattern formation , classical mechanics , mathematical analysis , atmospheric sciences , acoustics , mathematics , rhythm , biology , genetics

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.

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