Dynamical computation reservoir emerging within a biological model network

  • Authors:
  • Carlos Lourenço

  • Affiliations:
  • Faculty of Sciences of the University of Lisbon, Informatics Department, Campo Grande, 1749-016 Lisboa, Portugal and Instituto de Telecomunicaçíes, Security and Quantum Information Group ...

  • Venue:
  • Neurocomputing
  • Year:
  • 2007

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Abstract

Chaos in dynamical systems potentially provides many different dynamical states arising from a single attractor. We call this the reservoir property and give here a precise meaning to two aspects of such property. In both cases, the high flexibility of chaos comes into play, as compared to more regular regimes. In this article, we especially focus on the fact that chaotic attractors are known to possess an infinite number of embedded unstable periodic orbits. In brain modeling, or for the purpose of suggesting computational devices that could take advantage of chaos, the different embedded dynamical states can be interpreted as different behaviors or computational modes suitable for particular tasks. Previously we proposed a rather abstract neural network model that mimicked cortex to some extent but where biological realism was not the major concern. In the present paper we show that the same potential for computation can be displayed by a more realistic neural model. The latter features spatiotemporal chaos of a type thus far only found in more ''artificial'' models. We also note that certain network-related properties, previously overlooked, turn out to be essential for the generation of complex behavior.