Coupling of a slow and a fast oscillator can generate bursting

DOI10.1007/BF02459643zbMath0553.92005OpenAlexW2078892469WikidataQ52680793 ScholiaQ52680793MaRDI QIDQ759670

D. Kharzeev

Publication date: 1985

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459643

zbMATH Keywords

limit cyclesbursting cellscoupled nonlinear oscillators with different frequenciesextended Bonhoefer-van der Pol oscillatormodified version of the Hodgkin-Huxley equations

Mathematics Subject Classification ID

Biophysics (92C05) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx)

Related Items (6)

Understanding bursting oscillations as periodic slow passages through bifurcation and limit points ⋮ Dissection of a model for neuronal parabolic bursting ⋮ On the dynamics of bursting systems ⋮ Model predictions of myoelectrical activity of the small bowel ⋮ Generation of slow phase-locked oscillation and variability of the interspike intervals in globally coupled neuronal oscillators ⋮ NONLINEAR DYNAMICAL SYSTEM IDENTIFICATION FROM UNCERTAIN AND INDIRECT MEASUREMENTS

Cites Work

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• Bifurcation and resonance in a model for bursting nerve cells
• Ionic channel density of excitable membranes can act as a bifurcation parameter
• On the mechanism underlying bursting in the Aplysia abdominal ganglion R 15 cell
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems

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