Homoclinical Structure of Retarded SICNNs with Rectangular Input Currents

Fen M. O., Fen F. T.

NEURAL PROCESSING LETTERS, vol.49, no.2, pp.521-538, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.1007/s11063-018-9832-6
  • Journal Name: NEURAL PROCESSING LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.521-538
  • Keywords: 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
  • TED University Affiliated: Yes

Abstract

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.