Digital Dynamical Systems of Spike-Trains

  • Narutoshi Horimoto
  • Toshimichi Saito
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8227)


This paper studies a simple digital dynamical system that can generate various spike-trains. In order to consider the steady and transient states, we use two basic feature quantities. The first one is the number of co-existing periodic spike-trains that can characterize richness of the steady state. The second one is the concentricity of transition to the periodic spike-trains that can characterize variation of transient phenomena. Performing numerical experiments for two typical examples based on the bifurcating neuron, basic classification of the dynamics is considered.


spiking neurons digital dynamical systems spike-train stability nonlinear dynamics 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Narutoshi Horimoto
    • 1
  • Toshimichi Saito
    • 1
  1. 1.Hosei UniversityKoganeiJapan

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