Homoclinical Structure of Retarded SICNNs with Rectangular Input Currents

Fen M. O., FEN F.

NEURAL PROCESSING LETTERS, cilt.49, sa.2, ss.521-538, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s11063-018-9832-6
  • Dergi Adı: NEURAL PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.521-538
  • Anahtar Kelimeler: Shunting inhibitory cellular neural networks, Homoclinic and heteroclinic outputs, Rectangular input currents, Stable and unstable sets, Quasi-periodic outputs, ALMOST-PERIODIC SOLUTIONS, CELLULAR NEURAL-NETWORKS, LI-YORKE CHAOS, STABILITY
  • Gazi Üniversitesi Adresli: Evet

Özet

The dynamics of retarded shunting inhibitory cellular neural networks (SICNNs) with rectangular input currents is investigated from the asymptotic point of view. It is rigorously proved that such networks possess homoclinic and heteroclinic outputs under certain conditions. Illustrative examples that support the theoretical results are provided. Moreover, the extension of the homoclinical structure is numerically demonstrated for unidirectionally coupled retarded SICNNs.