Bursting oscillations near codimension-two bifurcations in the Chay neuron model

DOI10.1515/IJNSNS.2006.7.1.59zbMath1401.92025MaRDI QIDQ1786160

Lixia Duan, Qi-Shao Lu

Publication date: 24 September 2018

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

bifurcationcodimensionneuronfast/slow dynamical analysis

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23)

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Implicit Finite Difference Scheme for Singularly Perturbed Burger-Huxley Equations ⋮ Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems ⋮ Fitted numerical method for singularly perturbed burger-Huxley equation ⋮ Contribution of a \(\mathrm{Ca}^{2+}\)-activated \(\mathrm{K}^+\) channel to neuronal bursting activities in the Chay model ⋮ A robust adaptive grid method for singularly perturbed Burger-Huxley equations ⋮ A singular perturbation approach to solve Burgers-Huxley equation via monotone finite difference scheme on layer-adaptive mesh ⋮ A variational approach to connecting orbits in nonlinear dynamical systems

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