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

In: Complexity and Diversity

Author

Listed:
  • 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.)

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.

Suggested Citation

  • Hiroaki Tanaka & Kazuyuki Aihara, 1997. "Chaotic behavior of the Hodgikin-Huxley equations under small random noise," Springer Books, in: Eiichi Ryoku Nakamura & Kiyoshi Kudo & Osamu Yamakawa & Yoichi Tamagawa (ed.), Complexity and Diversity, pages 172-174, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-66862-6_35
    DOI: 10.1007/978-4-431-66862-6_35
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