Negative Feedback Mediated by Fast Inhibitory Autapse Enhances Neuronal Oscillations Near a Hopf Bifurcation Point

DOI10.1142/S021812741850030XzbMath1386.34089OpenAlexW2792338766MaRDI QIDQ4608932

Bing Jia

Publication date: 29 March 2018

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

Full work available at URL: https://doi.org/10.1142/s021812741850030x

zbMATH Keywords

bifurcationHopf bifurcationcodimension-2 bifurcationdepolarization blockautapseneural firing

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)

Related Items (7)

Bifurcations of Negative Responses to Positive Feedback Current Mediated by Memristor in a Neuron Model with Bursting Patterns ⋮ Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function ⋮ Inhibitory electromagnetic induction current induces enhancement instead of reduction of neural bursting activities ⋮ Inhibitory autapses enhance coherence resonance of a neuronal network ⋮ A Novel Threshold Across which the Negative Stimulation Evokes Action Potential Near a Saddle-Node Bifurcation in a Neuronal Model with Ih Current ⋮ Regulation of Chemical Autapse on an FHN-ML Neuronal System ⋮ Numerical bifurcation analysis of pacemaker dynamics in a model of smooth muscle cells

Uses Software

• MATCONT
• XPPAUT

Cites Work

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• A SERIES OF BIFURCATION SCENARIOS IN THE FIRING PATTERN TRANSITIONS IN AN EXPERIMENTAL NEURAL PACEMAKER
• Dynamics and Physiological Roles of Stochastic Firing Patterns Near Bifurcation Points
• Multiobjective Particle Swarm Optimization of Boresight Error and Transmission Loss for Airborne Radomes
• MATCONT
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Random dynamics of the Morris–Lecar neural model

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