Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons

DOI10.1063/1.5050178zbMath1411.37067arXiv1807.10824OpenAlexW3100631386WikidataQ92714721 ScholiaQ92714721MaRDI QIDQ4631834

Elizabeth N. Davison, Naomi Ehrich Leonard, Zahra Aminzare, Biswadip Dey

Publication date: 23 April 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10824

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Slow-fast dynamics in the truss core sandwich plate under excitations with high and low frequencies ⋮ Stabilization of stochastic highly non-linear multi-links systems via aperiodically intermittent control ⋮ Recurrence quantification and bifurcation analysis of electrical activity in resistive/memristive synapse coupled FitzHugh-Nagumo type neurons ⋮ Emergence of Canard induced mixed mode oscillations in a slow-fast dynamics of a biophysical excitable model ⋮ Hopf bifurcations on invariant manifolds of a modified FitzHugh-Nagumo model ⋮ Inhibitory autapse with time delay induces mixed-mode oscillations related to unstable dynamical behaviors near subcritical Hopf bifurcation ⋮ A minimal model for synaptic integration in simple neurons ⋮ Nested mixed-mode oscillations in a canard-generating driven Bonhoeffer-van der Pol oscillator

Uses Software

• MATCONT

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