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Switching Dynamics of Neural Systems in the Presence of Multiplicative Colored Noise

  • Jorge F. Mejias
  • Joaquin J. Torres
  • Samuel Johnson
  • Hilbert J. Kappen
Conference paper
  • 1.4k Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5517)

Abstract

We study the dynamics of a simple bistable system driven by multiplicative correlated noise. Such system mimics the dynamics of classical attractor neural networks with an additional source of noise associated, for instance, with the stochasticity of synaptic transmission. We found that the multiplicative noise, which performs as a fluctuating barrier separating the stable solutions, strongly influences the behaviour of the system, giving rise to complex time series and scale-free distributions for the escape times of the system. This finding may be of interest to understand nonlinear phenomena observed in real neural systems and to design bio-inspired artificial neural networks with convenient complex characteristics.

Keywords

Bistable systems switching dynamics multiplicative colored noise neural up and down states 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Jorge F. Mejias
    • 1
  • Joaquin J. Torres
    • 1
  • Samuel Johnson
    • 1
  • Hilbert J. Kappen
    • 2
  1. 1.Department of Electromagnetism and Matter PhysicsUniversity of GranadaGranadaSpain
  2. 2.Department of BiophysicsRadboud University of NijmegenNijmegenThe Netherlands

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