Response Characteristics of Nonlinear Models to External Stimuli: Neuron Models and Biological Oscillators as an Example

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  • DOI Shinji
    Graduate School of Engineering, Kyoto University

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Other Title
  • 非線形モデルの刺激応答特性
  • ―神経モデル，生物振動子を例として―

Description

<p>From around 1960 to the 1980's, various biological phenomena attracted much attention and were intensively studied using nonlinear methematical models. Using several simplified neuron models, such as the Caianiello neuron and Nagumo-Sato models, and a model of a biological oscillator, as examples, we show that a common dynamics expressed by a one-dimensional discrete dynamical system (one-dimensional mapping) underlies such models arising in different biological contexts. In particular, exploration of the nonlinear dynamics of a piecewise linear mapping in detail shows that very complicated nonlinear phenomena can be generated by very simple nonlinear dynamics.</p>

Journal

  • IEICE ESS Fundamentals Review

    IEICE ESS Fundamentals Review 13 (3), 187-196, 2020-01-01

    The Institute of Electronics, Information and Communication Engineers

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