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Neurodynamics and nonlinear integrable systems of Lax type

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Abstract

It is shown that an averaged learning equation in neurodynamics is an integrable gradient system having a Lax pair representation.

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Authors and Affiliations

  1. Applied Mathematics Laboratory, Department of Electronics, Doshisha University, 602, Kyoto, Japan

    Yoshimasa Nakamura

Authors
  1. Yoshimasa Nakamura
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Additional information

This research was partially supported by Grant-in-Aid for Scientific Research nos. 03804005 and 04804005 from the Japan Ministry of Education, Science, and Culture.

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Nakamura, Y. Neurodynamics and nonlinear integrable systems of Lax type. Japan J. Indust. Appl. Math. 11, 11–20 (1994). https://doi.org/10.1007/BF03167210

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  • DOI: https://doi.org/10.1007/BF03167210

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