Abstract
Using the method of Benetin, et. al., [3] and of Shimada and Nagashima [9], the Liapunov exponents of the stimulated Hodgkin-Huxley equations were estimated for different forcing amplitudes and frequencies. From the Kaplan-Yorke conjecture [7], the dimension of the underlying attractor in (V, n, m, h)-space was approximated. The Hodgkin-Huxley equations were taken in the form (see [6]) in which the unstimulated axon is not in a state of self-sustained oscillation. In this sense, the work of ([1],[2], [5]) is complemented.
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© 1989 Plenum Press, New York
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Frame, M. (1989). Chaotic Behavior of the Forced Hodgkin-Huxley Axon. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_9
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