Singularities of equations of Hodgkin–Huxley type

References

• Alexander , J. C. and Cai , D. -Y. 1991 . On the dynamics of bursting systems . Journal of Mathematical Biology , 29 : 405 – 423 .
   Google Scholar
• Arnold , V. I. , Gussein-Zade , S. M. and Varchenko , A. N. Singularities of Differentiable Maps
   Google Scholar
• Chay , T. R. and Lee , Y. S. 1990 . Bursting, beating, and chaos by two Functionally distinct inward current inactivations in excitable cells . Annals of the New York Academy of Science , 591 : 328 – 350 .
   Google Scholar
• Devancy , R. L. 1989 . An introduction to chaotic dynamical systems , Reading, MA : Addision-Wesley .
   Google Scholar
• Guckenheimer , J. and Labouriau , I. S. 1993 . Bifurcation of the Hodgkin and Huxley equations:a new twist . Bulletin of Mathematical Biology , 55 : 937 – 952 .
   Google Scholar
• Hodgkin , A. L. and Huxley , A. F. 1952 . A quantitative description of membrane current and its application to conduction and excitation in nerve . Journal of Physiology , 117 : 500 – 544 .
   PubMed Web of Science ®Google Scholar
• Poston , T. and Stewart , I. 1978 . Catastrophe theory and its applications Pitman, Boston, London, Melbourne
   Google Scholar
• Stockbridge , N. and Yamoah , N. 1990 . Excitability changes in the crustacean motor axon following activity . Journal of Mathematical Biology , 28 : 487 – 499 .
   Google Scholar