A Phase-Plane Analysis of Bursting in the Three-Dimensional Bonhoeffer–van der Pol Equations

DOI10.1137/0149020zbMath0666.92004OpenAlexW2018369805MaRDI QIDQ3818838

Son T. Tu

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149020

zbMATH Keywords

nonlinear oscillationsmatched asymptotic expansionsstable equilibriumburstingperturbation expansionssmall amplituderelaxation oscillationslarge amplitudethree-dimensional Bonhoeffer-van der Pol equationstwo- dimensional van der Pol system

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Biophysics (92C05)

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