Bifurcation analysis of mode-locking structure in a Hodgkin-Huxley neuron under sinusoidal current
SCIE
SCOPUS
- Title
- Bifurcation analysis of mode-locking structure in a Hodgkin-Huxley neuron under sinusoidal current
- Authors
- Lee, SG; Kim, S
- Date Issued
- 2006-04
- Publisher
- AMERICAN PHYSICAL SOC
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/12374
- DOI
- 10.1103/PhysRevE.73.041924
- ISSN
- 1539-3755
- Article Type
- Article
- Citation
- PHYSICAL REVIEW E, vol. 73, no. 4, 2006-04
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