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Bifurcation structure of a discrete neuronal equation

Author: Centre National de la Recherche Scientifique (CNRS) 38 - Saint-Martin-d'Heres (France). Informatique et Mathematiques Appliquees de Grenoble
Centre National de la Recherche Scientifique (CNRS) 38 - Saint-Martin-d'Heres (France). Lab. des Techniques de l'Informatique, des Mathematiques, de la Microelectronique, et de la Microscopie Quantitative
Coles Eric
Cosnard Michel
Publication venue
Publication date: 01/01/1985
Field of study

SIGLECNRS RS 17660 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

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Bifurcation structure of a discrete neuronal equation

Author: Chacc Eric Goles
Cosnard Michel
Moumida Driss
Publication venue: Published by Elsevier B.V.
Publication date: 30/09/1988
Field of study

AbstractWe present the bifurcations diagram of a threshold automation with memory. This automation has a unique attractor which is periodic if the memory is bounded, periodic or Cantorian if it is unbounded. We show that the associated rotation number is an increasing piecewise constant function of the threshold parameter. If the memory is unbounded, this function is a devil staircase

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