Degenerate Hopf Bifurcation and Nerve Impulse
Copyright policy )Degenerate Hopf Bifurcation and Nerve Impulse
The author studies the Hodgkin-Huxley equations for nerve impulses in isolated giant axons of squid. As usual in these studies, Hopf bifurcation theory, in this case the theory of degenerate Hopf bifurcation, is used. She computes numerically several invariants required to apply the theory of \textit{M. Golubitsky} and \textit{W. F. Langford} in J. Differ. Equations 41, 375-415 (1981; Zbl 0442.58020), and uses this theory to show that under certain conditions, two branches of periodic solutions join.
degenerate Hopf bifurcation, Hodgkin-Huxley equations, giant axons of squid, Local and nonlocal bifurcation theory for dynamical systems, Physiological, cellular and medical topics, periodic solutions, neurophysiology, Periodic solutions to ordinary differential equations, nerve impulses
degenerate Hopf bifurcation, Hodgkin-Huxley equations, giant axons of squid, Local and nonlocal bifurcation theory for dynamical systems, Physiological, cellular and medical topics, periodic solutions, neurophysiology, Periodic solutions to ordinary differential equations, nerve impulses
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