Chaotic behavior of the Hodgikin-Huxley equations under small random noise

Hiroaki Tanaka and Kazuyuki Aihara
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Hiroaki Tanaka: The Univ. of Tokyo, Dept. of Mathematical Eng. and Info. Phys.
Kazuyuki Aihara: The Univ. of Tokyo, Dept. of Mathematical Eng. and Info. Phys.

A chapter in Complexity and Diversity, 1997, pp 172-174 from Springer

Abstract: Abstract The chaotic behavior of the neuron is studied by calculating Hodgikin-Huxley equations under white noise with various amplitude. Even small noise, such as 10−10, effects the chaotic behavior. With noise from 10−10to 10−1 the trajectory of the strange attractor converges in a bi-phasic manner. With large noise, the trajectory shows some macroscopic periodicity, which may be accompanied with its shortening of the period. The amplitude dependence of the noise effect on the chaotic behavior can be explained by two types of scaling structure of the nerve chaos.

Keywords: Hodgikin-Huxley equations; noise; order (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-66862-6_35

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DOI: 10.1007/978-4-431-66862-6_35

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