Chaos in Molluscan Neuron

  • Hatsuo Hayashi
  • Satoru Ishizuka
Part of the NATO ASI Series book series (NSSA, volume 138)


Irregular responses of Onchidium pacemaker neuron to a sinusoidal current stimulation are classified into three kinds of chaotic oscillations by means of one-dimensional stroboscopic and return maps: chaos, intermittency, and random alternative chaos. Harmonic responses bifurcate to the chaos through the intermittency or the random alternative chaos. All of the chaotic responses are caused by random jumps between two kinds of unstable harmonic responses. Two types of instability exist. Each combination of the two types of instability corresponds to each chaotic response. On the other hand, it is ascertained that spontaneous irregular activities of the neuron are really chaotic. One-dimensional maps of the activities reveal a single-valued function.


Interspike Interval Chaotic Nature Harmonic Response Arrow Line Chaotic Response 
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  1. [1]
    A. Babloyantz, J.M. Salazar and C. Nicolis, Evidence of chaotic dynamics of brain activity during the sleep cycle, Phys. Lett 111A: 152–156 (1985).CrossRefGoogle Scholar
  2. [2]
    T.R. Chay, Chaos in a three-variable model of an excitable cell, Physica. 16D: 233–242 (1985).Google Scholar
  3. [3]
    A.L.F. Gorman and M.V. Thomas, Changes in the intracellular concentration of free calcium ions in a pacemaker neurone, measured with the metallochromic indicator dye arsenazo III. J. Physiol. 275: 357–376 (1978).PubMedGoogle Scholar
  4. [4]
    H. Hayashi, S. Ishizuka, M. Ohta and K. Hirakawa, Chaotic behaviour in the Onchidium giant neuron under sinusoidal stimulation, Phys. Lett. 88A: 435–438 (1982).CrossRefGoogle Scholar
  5. [5]
    H. Hayashi, S. Ishizuka and K. Hirakawa, Chaotic response of the pacemaker neuron. J. Phys. Soc. Jpn. 54: 2337–2346 (1985).CrossRefGoogle Scholar
  6. [6]
    H. Hayashi, S. Ishizuka and K. Hirakawa, Instability of harmonic responses of Onchidium pacemaker neuron, J. Phys. Soc. Jpn. 55: 3272–3278 (1986).CrossRefGoogle Scholar
  7. [7]
    E.P. Kandel, “Cellular Basis of Behaviour”, W.H. Freeman and Company, San Francisco, 261–268 (1976).Google Scholar
  8. [8]
    D.H. Perkel, J.H. Schulman, T.H. Bullock, G.P. Moore and J.P. Segundo, Pacemaker neurons: effects of regularly spaced synaptic input, Science 145: 61–63 (1964).PubMedCrossRefGoogle Scholar
  9. [9]
    P.E. Rapp, I.D. Zimmerman, A.M. Albano, G.C. Deguzman and N.N. Greenbaum, Dynamics of spontaneous neural activity in the simian motor cortex: the dimension of chaotic neurons, Phys. Lett. 110A: 335–338 (1985).CrossRefGoogle Scholar
  10. [10]
    In preparation.Google Scholar

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Hatsuo Hayashi
    • 1
  • Satoru Ishizuka
    • 2
  1. 1.Department of Electronics Faculty of EngineeringKyushu UniversityHigashi-ku, Fukuoka 812Japan
  2. 2.Department of Physiology Faculty of DentistryKyushu UniversityHigashi-ku Fukuoka 812Japan

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