Homoclinic bifurcation in a Hodgkin-Huxley model of thermally sensitive neurons
- Department of Physics, University of Potsdam, Potsdam 14415, (Germany)
- Center for Neurodynamics, University of Missouri at St. Louis, St. Louis, Missouri 63121 (United States)
- Institute of Physiology, University of Marburg, Marburg 35037, (Germany)
We study global bifurcations of the chaotic attractor in a modified Hodgkin-Huxley model of thermally sensitive neurons. The control parameter for this model is the temperature. The chaotic behavior is realized over a wide range of temperatures and is visualized using interspike intervals. We observe an abrupt increase of the interspike intervals in a certain temperature region. We identify this as a homoclinic bifurcation of a saddle-focus fixed point which is embedded in the chaotic attractors. The transition is accompanied by intermittency, which obeys a universal scaling law for the average length of trajectory segments exhibiting only short interspike intervals with the distance from the onset of intermittency. We also present experimental results of interspike interval measurements taken from the crayfish caudal photoreceptor, which qualitatively demonstrate the same bifurcation structure. (c) 2000 American Institute of Physics.
- OSTI ID:
- 20215593
- Journal Information:
- Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 1 Vol. 10; ISSN CHAOEH; ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
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