Bursting of Morris-Lecar neuronal model with current-feedback control

DOI10.1007/S11431-009-0040-5zbMath1181.92008OpenAlexW2026792943MaRDI QIDQ1045347

Lixia Duan, Daizhan Cheng, Qi-Shao Lu

Publication date: 15 December 2009

Published in: Science in China. Series E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-009-0040-5

zbMATH Keywords

bifurcationcodimensionburstingneuronfast-slow dynamics analysis

Mathematics Subject Classification ID

Feedback control (93B52) Biological applications of optics and electromagnetic theory (78A70) Neural biology (92C20) Application models in control theory (93C95) Biophysics (92C05)

Related Items (5)

Bursting oscillations, bifurcation and synchronization in neuronal systems ⋮ Delayed Bifurcations to Repetitive Spiking and Classification of Delay-Induced Bursting ⋮ Bursting mechanism in a time-delayed oscillator with slowly varying external forcing ⋮ Abundant bursting patterns of a fractional-order Morris-Lecar neuron model ⋮ Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator

Uses Software

• CONTENT
• XPPAUT

Cites Work

• A Hodgkin-Huxley model exhibiting bursting oscillations
• Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
• Topological and phenomenological classification of bursting oscillations
• Weakly connected neural networks
• The transition from bursting to continuous spiking in excitable membrane models
• Slow Passage Through a Hopf Bifurcation: From Oscillatory to Steady State Solutions
• Simulating, Analyzing, and Animating Dynamical Systems
• Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
• Minimal Models of Bursting Neurons: How Multiple Currents, Conductances, and Timescales Affect Bifurcation Diagrams
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Elements of applied bifurcation theory

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