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Published on: February 11, 2011
Bifurcation analysis of mode-locking structure in a Hodgkin-Huxley neuron under sinusoidal current
1Brain Research Center & Nonlinear and Complex Systems Laboratory, Department of Physics, National Core Research Center for System Bio-Dynamics, Pohang University of Science & Technology, San 31 Hyojadong, Pohang, Korea 790-784.
Abstract:
Nervous systems under periodic stimuli display rich dynamical states including mode-locking and chaotic responses, which have been a subject of intense studies in neurodynamics. The bifurcation structure of the Hodgkin-Huxley neuron under sinusoidal stimulus is studied in detail. The mechanisms of the firing onset and rich firing dynamics are studied with the help of the codimension-2 bifurcations, which play the role of the organizing center for myriads of saddle-node, period-doubling, and inverse-flip bifurcations forming the boundaries of the complex mode-locking structure. This study provides a useful insight into the organization of similar bifurcation structures in excitable systems such as neurons under periodic forcing.
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