Oscillatory dynamics for a coupled membrane-bulk diffusion model with Fitzhugh-Nagumo membrane kinetics.

*(English)*Zbl 1347.35032##### MSC:

35B32 | Bifurcations in context of PDEs |

35B20 | Perturbations in context of PDEs |

35B35 | Stability in context of PDEs |

92B25 | Biological rhythms and synchronization |

35K51 | Initial-boundary value problems for second-order parabolic systems |

35K58 | Semilinear parabolic equations |

35B25 | Singular perturbations in context of PDEs |

##### Keywords:

bulk diffusion; active membranes; Hopf bifurcation; winding number; synchronous oscillations; slow-fast membrane dynamics##### Software:

XPPAUT
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\textit{J. Gou} and \textit{M. J. Ward}, SIAM J. Appl. Math. 76, No. 2, 776--804 (2016; Zbl 1347.35032)

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##### References:

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