Synchronization of Locally Coupled Neural Oscillators

  • Authors:
  • Valentin Dragoi;Ioan Grosu

  • Affiliations:
  • Dept of Brain & Cognitive Sci., Massachusetts Institute of Tech., 45 Carleton St., E25–235, Cambridge MA 02139, USA;Dept of Brain & Cognitive Sci., Massachusetts Institute of Tech., 45 Carleton St., E25–235, Cambridge MA 02139, USA

  • Venue:
  • Neural Processing Letters
  • Year:
  • 1998

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Abstract

A new method of controlling Fitzhugh-Nagumo (F-N) neural oscillators, Fitzhugh [1], with local coupling is presented. It is proved that throughthe use of an additive closed-loop controlling action that entrains eachneural oscillator to a ‘goal‘ behavior, necessary and sufficientconditions for the occurrence of synchronization in networks ofunidirectionally self-connected neural oscillators are obtained in terms ofasymptotic stability. These conditions suggest that rapid globalsynchronization can be achieved using sufficiently strong local inhibitoryconnections.