Bifurcations of Negative Responses to Positive Feedback Current Mediated by Memristor in a Neuron Model with Bursting Patterns

DOI10.1142/S0218127420300098zbMath1446.34069MaRDI QIDQ5107082

Fuqiang Wu, Hua-Guang Gu

Publication date: 22 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

bifurcationmemristorfiring frequencyneural burstingelectromagnetic induction currentexcitatory current

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Singular perturbations for ordinary differential equations (34E15) Circuits in qualitative investigation and simulation of models (94C60)

Related Items (7)

The nonlinear mechanisms underlying the various stochastic dynamics evoked from different bursting patterns in a neuronal model ⋮ Pattern formation in a thermosensitive neural network ⋮ Creation of heterogeneity or defects in a memristive neural network under energy flow ⋮ Inhibitory autapses enhance coherence resonance of a neuronal network ⋮ Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron ⋮ Fast–Slow Variable Dissection with Two Slow Variables: A Case Study on Bifurcations Underlying Bursting for Seizure and Spreading Depression ⋮ Bifurcation and Chaos of Spontaneous Oscillations of Hair Bundles in Auditory Hair Cells

Uses Software

• XPPAUT

Cites Work

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