Nonsmooth Bifurcations of Mean Field Systems of Two-Dimensional Integrate and Fire Neurons

DOI10.1137/140985846zbMath1335.34073OpenAlexW1915615757MaRDI QIDQ2797740

Wilten Nicola, Sue Ann Campbell

Publication date: 31 March 2016

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

Full work available at URL: https://doi.org/10.1137/140985846

zbMATH Keywords

bifurcation theorycomputational neurosciencepopulation density methodsnonsmooth dynamical systemsmean field systems

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Related Items (7)

A compendium of Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ One-Dimensional Population Density Approaches to Recurrently Coupled Networks of Neurons with Noise ⋮ Global dynamics of an asymmetry piecewise linear differential system: theory and applications ⋮ Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems ⋮ On the maximum number of limit cycles for a piecewise smooth differential system ⋮ Chaos in homeostatically regulated neural systems

Uses Software

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