Bifurcation analysis of mode-locking structure in a Hodgkin-Huxley neuron under sinusoidal current.
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.
Lee
Sang-Gui
SG
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.
Kim
Seunghwan
S
D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D004558:Electric Stimulation / Q000379:methods*; D006801:Humans; D008564:Membrane Potentials / Q000502:physiology; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D010507:Periodicity; D009435:Synaptic Transmission / Q000502:physiology*