Bifurcation analysis of mode-locking structure in a Hodgkin-Huxley neuron under sinusoidal current

作     者：Sang-Gui Lee Seunghwan Kim 

作者机构：Brain 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 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2006年第73卷第4期

页      面：041924-041924页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：Neurology 

摘      要：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.