A special point of Z2-codimension three Hopf bifurcation in the Hodgkin-Huxley model

Applied Mathematics Letters

Volumn 9, Issue 3, 1996, Pages 31-34

  Hassard, B ^a   Shiau, L J ^b  

^a UNIVERSITY AT BUFFALO   (United States)

^b University of Houston   (United States)

Author keywords

Degenerate Hopf bifurcation; Hodgkin Huxley; Hopf bifurcation; Singularity; Z2 codimension

Indexed keywords

EID: 0040663700     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00027-4     Document Type: Article

References (3)

1. B.D. Hassard and L.J. Shiau, Isolated periodic solutions of the Hodgkin-Huxley equations, J. Theor. Biol. 136, 267-280, (1989).
2. L.J. Shiau and B.D. Hassard, Degenerate Hopf bifurcation and isolated periodic solutions of the Hodgkin-Huxley model with varying sodium ion concentration, J. Theor. Biol. 148, 157-173, (1991).
3. M. Golubitsky and D. Schaeffer, Singularities and Groups in Bifurcation Theory I, Springer-Verlag, (1985).