Artificial Life and Robotics

, Volume 7, Issue 3, pp 136–144 | Cite as

Symbolic dynamics of a chaotic neuron model

Original Article


Chaotic neurons change their internal state according to a bimodal map, and when they communicate with other neurons their internal state is transformed into one of two separate outputs, firing or resting. We address and investigate the topological entropy of the two-valued output of the chaotic neuron from two different viewpoints: the dependence upon the parameters of the neurons, and the relationship to their threshold. From the former viewpoint, we clarify the mechanism that changes the shift space corresponding to the time series of the neuronal output. From the latter viewpoint, we examine the effect of small fluctuations on the threshold of the chaotic neuron.

Key words

Chaotic neuron Symbolic dynamics Fator code Parry measure 


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Copyright information

© ISAROB 2003

Authors and Affiliations

  1. 1.Complexity Science and EngineeringUniversity of TokyoTokyoJapan
  2. 2.CRESTJapan Science and Technology CorporationSaitamaJapan

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