Impulsive Hopfield-type neural network system with piecewise constant argument

AKHMET M., YILMAZ E.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, cilt.11, sa.4, ss.2584-2593, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.nonrwa.2009.09.003
  • Dergi Adı: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2584-2593
  • Anahtar Kelimeler: Impulsive differential equations, Hopfield neural networks, Piecewise constant argument, Equilibrium, Asymptotic stability, Periodic solutions, DIFFERENTIAL-EQUATIONS, GENERALIZED TYPE, STABILITY, OSCILLATORS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper we introduce an impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. Sufficient conditions for the existence of the unique equilibrium are obtained. Existence and uniqueness of solutions of such systems are established. Stability criterion based on linear approximation is proposed. Some sufficient conditions for the existence and stability of periodic solutions are derived. An example with numerical simulations is given to illustrate our results. (C) 2009 Elsevier Ltd. All rights reserved.