Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model

DOI10.1007/s00422-013-0559-1zbMath1294.92005OpenAlexW1993212792WikidataQ45009049 ScholiaQ45009049MaRDI QIDQ402336

J. Herrera, H. S. Yoon

Publication date: 28 August 2014

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00422-013-0559-1

zbMATH Keywords

bifurcationFitzHugh-Nagumo modelCanard phenomenondelayed Hopf bifurcationsymmetric fold/super-Hopf burstingsymmetric super-Hopf/homoclinic bursting

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

New improvement of the expansion methods for solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients, Delayed Bifurcations to Repetitive Spiking and Classification of Delay-Induced Bursting, Recurrence quantification and bifurcation analysis of electrical activity in resistive/memristive synapse coupled FitzHugh-Nagumo type neurons, Pattern formation by super-diffusion in Fitzhugh-Nagumo model, Pattern formation in the FitzHugh-Nagumo model, Symmetric Fold/Super-Hopf Bursting, Chaos and Mixed-Mode Oscillations in Pernarowski Model of Pancreatic Beta-Cells, Bursting Oscillations and Experimental Verification of a Rucklidge System

Uses Software

• XPPAUT

Cites Work

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