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Symbolic dynamics of a chaotic neuron model
Authors:K.?Fukuda  author-information"  >  author-information__contact u-icon-before"  >  mailto:koji@sat.t.u-tokyo.ac.jp"   title="  koji@sat.t.u-tokyo.ac.jp"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,K.?Aihara,K.?Aihara
Affiliation:(1) Complexity Science and Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, 113-8656 Tokyo, Japan;(2) CREST, Japan Science and Technology Corporation, Saitama, Japan
Abstract: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. This work was presented in part at the 7th International Symposium on Artificial Life and Robotics, Oita, Japan, January 16–18, 2002
Keywords:Chaotic neuron  Symbolic dynamics  Fator code  Parry measure
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