Stabilizing control of Hopf bifurcation in the Hodgkin-Huxley model via washout filter with linear control term

DOI10.1007/s11071-009-9585-xzbMath1189.92010OpenAlexW1973066853MaRDI QIDQ979370

J. Martínez

Publication date: 28 June 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9585-x

zbMATH Keywords

bifurcation controlRouth-Hurwitz stability criterion

Mathematics Subject Classification ID

Neural biology (92C20) Application models in control theory (93C95) Medical applications (general) (92C50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Robust stabilization design of nonlinear stochastic partial differential systems: fuzzy approach ⋮ Bifurcation control of the Morris-Lecar neuron model via a dynamic state-feedback control ⋮ Robust stabilization control of bifurcations in Hodgkin-Huxley model with aid of unscented Kalman filter ⋮ Changes of Firing Rate Induced by Changes of Phase Response Curve in Bifurcation Transitions ⋮ A combined offline-online algorithm for Hodgkin-Huxley neural networks

Cites Work

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• Chaos control and synchronization of two neurons exposed to ELF external electric field
• Multi-parameter Hopf-bifurcation in Hodgkin-Huxley model exposed to ELF external electric field
• Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions
• Bifurcation control of the Hodgkin-Huxley equations

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