Global Hopf bifurcation analysis on a BAM neural network with delays

  • Authors:
  • Chengjun Sun;Maoan Han

  • Affiliations:
  • Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China;Department of Mathematics, Shanghai Normal University, Shanghai 200234, People's Republic of China

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2007

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Abstract

A BAM neural network with three neurons is considered. Sufficient conditions for the system to have multiple periodic solutions are obtained when the sum of delays is sufficiently large. Numerical simulations are presented to support the theoretical results found.