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Yuan, Y. and Campbell, S.A. (2004) Stability and Synchronization of a Ring of Identical Cells with Delayed Coupling: Dedicated to Shui-Nee Chow on the Occasion of His 60th Birthday. Journal of Dynamics and Differential Equations, 16, 709-744.
https://doi.org/10.1007/s10884-004-6114-y

has been cited by the following article:

• TITLE: Parametric Stabilization of the Ring and Linear Neural Network with Two Delays

  AUTHORS: Dongxia Zhao, Dongxia Fan, Yaping Guo

  KEYWORDS: Neural Network, Time Delay, Exponential Polynomial, Linear and Ring Neural Configuration, Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.7, July 13, 2021

  ABSTRACT: This paper is devoted to the problem of stabilizing a Hopfield-type neural network with bi-directional ring architecture and two delays. The delay-independent and delay-dependent stability conditions are explicitly presented by the method of the characteristic roots and the skill of mathematical analysis. Moreover, if a link between the adjacent two neurons is cut, the ring neural network turns to a linear one, and the stability results are also established. Furthermore, a comparative analysis for the ring and linear network shows that the stability domain is enlarged after the breaking.