English

Homoclinical structure of SICNNs with rectangular input currents

Chaotic Dynamics 2016-09-23 v1 Dynamical Systems

Abstract

Shunting inhibitory cellular neural networks (SICNNs) with continuous as well as discontinuous external inputs are investigated. The descriptions of homoclinic and heteroclinic motions are provided in the functional sense for the multidimensional dynamics of SICNNs, and it is demonstrated that the networks under investigation exhibit such motions. Homoclinic and heteroclinic outputs that are asymptotic to quasi-periodic outputs are illustrated.

Cite

@article{arxiv.1609.06775,
  title  = {Homoclinical structure of SICNNs with rectangular input currents},
  author = {Mehmet Onur Fen and Fatma Tokmak Fen},
  journal= {arXiv preprint arXiv:1609.06775},
  year   = {2016}
}

Comments

13 pages, 2 figures

R2 v1 2026-06-22T15:57:18.477Z