Reduced and bifurcation analysis of intrinsically bursting neuron model

DOI10.3934/era.2023301MaRDI QIDQ6153144

Bo Lu, Xiaofang Jiang

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

zbMATH Keywords

homoclinic orbitneuronal modelBogdanov-Tankens bifurcationintrinsic burstingprojection reduction method

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Hidden extreme multistability and dimensionality reduction analysis for an improved non-autonomous memristive Fitzhugh-Nagumo circuit
• Minimal Hodgkin-Huxley type models for different classes of cortical and thalamic neurons
• Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays
• Codimension one and two bifurcations in Cattaneo-Christov heat flux model
• Jacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamo
• Lyapunov-Schmidt method dedicated to the observer analysis and design
• Network structure and input integration in competing firing rate models for decision-making
• Nonlinear system analysis with Karhunen-Loève transform
• Bifurcation and Spike Adding Transition in Chay–Keizer Model
• ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS
• An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
• Nonlinear Galerkin Methods
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• MATCONT
• Elements of applied bifurcation theory

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