✦ LIBER ✦
A special point of Z2-codimension three Hopf bifurcation in the Hodgkin-Huxley model
✍ Scribed by B. Hassard; L.-J. Shiau
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 278 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
A curve in (Z,T,gNo, UN,)-pmameter space of degenerate Hopf bifurcation for the Hodgkin-Huxley model is described. The curve includes all six of the "doubly degenerate" points from our earlier work [1,2]. The curve includes one special point at which m = 1, where m is the modal parameter.
The recognition problem for the singularity at this point is solved. Assuming that the parameters (T, gNar VNa) provide a versa1 unfolding, all previously known types of Hopf bifurcation behavior in the Hodgkin-Huxley system will be exhibited for (T, gNa, VNa) in a neighborhood of their values at this point.