Bifurcation analysis of bursting solutions of two Hindmarsh-Rose neurons with joint electrical and synaptic coupling

DOI10.3934/dcdsb.2011.16.637zbMath1228.34070OpenAlexW2318754582MaRDI QIDQ717918

Feng Zhang, Jianzhong Su, Pan Meng, Wei Zhang

Publication date: 10 October 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.16.637

zbMATH Keywords

bifurcation analysisbursting neuronsjoint electrical and synaptic coupling

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ Delay-induced mixed-mode oscillations in a 2D Hindmarsh-Rose-type model ⋮ Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron

Uses Software

• XPPAUT

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