Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field

DOI10.1016/j.chaos.2003.08.011zbMath1048.37074OpenAlexW1971121268MaRDI QIDQ1878101

Kai Ming Tsang, Hua Zhang, Jiang Wang

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.08.011

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General biology and biomathematics (92B05)

Related Items (11)

Synchronization control of Hodgkin-Huxley neurons exposed to ELF electric field ⋮ Electric field-induced dynamical evolution of spiral wave in the regular networks of Hodgkin-Huxley neurons ⋮ Analysis and control of the bifurcation of Hodgkin-Huxley model ⋮ Multi-parameter Hopf-bifurcation in Hodgkin-Huxley model exposed to ELF external electric field ⋮ Two-parameters Hopf bifurcation in the Hodgkin-Huxley model ⋮ Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field ⋮ A modified Hodgkin-Huxley model ⋮ Axonal geometry as a tool for modulating firing patterns ⋮ Bifurcation control of the Hodgkin-Huxley equations ⋮ Entrainment by chaos ⋮ Control of repetitive firing in Hodgkin-Huxley nerve fibers using electric fields

Cites Work

• Bifurcation of the Hodgkin and Huxley equations: A new twist
• Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations
• Partition of the Hodgkin-Huxley type model parameter space into the regions of qualitatively different solutions
• On the relationship between the number of negative slope regions in the voltage-current curve of the Hodgkin-Huxley model and its parameter values
• The bifurcation of periodic solutions in the Hodgkin-Huxley equations

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