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Asymptotic Limit-cycle Analysis of the FitzHugh-Nagumo Equations

Published 24 Jul 2021 in math-ph, math.MP, and nlin.CD | (2107.11642v1)

Abstract: The asymptotic limit-cycle analysis of the FitzHugh-Nagumo equations is presented. In this work, we obtain an explicit analytical expression for the relaxation-oscillation period that is accurate within 1\% of their numerical values. In addition, we derive the critical parametric values leading to canard explosions and implosions in its associated limit cycles.

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Authors (1)

  1. Alain J. Brizard 

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