The Existence of Oscillatory Solutions for a Coupled
Complex-Valued Wilson-Cowan Neural Network Model with
Delays

Chunhua Feng; Ching Y. Suen

doi:https://doi.org/10.14445/22315373/IJMTT-V66I4P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 4 | Year 2020 | Article Id. IJMTT-V66I4P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I4P519

The Existence of Oscillatory Solutions for a Coupled Complex-Valued Wilson-Cowan Neural Network Model with Delays

Chunhua Feng, Ching Y. Suen

Citation :

Chunhua Feng, Ching Y. Suen, "The Existence of Oscillatory Solutions for a Coupled Complex-Valued Wilson-Cowan Neural Network Model with Delays," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 4, pp. 137-148, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I4P519

Abstract

In this paper, a coupled complex-valued Wilson-Cowan neural network model with delays is investigated. By means of mathematical analysis method, some sufficient conditions to guarantee the existence of oscillatory solutions for the model are provided. Computer simulation is given to demonstrate the correctness of the criterion.

Keywords

complex-valued Wilson-Cowan network, delay, instability, oscillation.

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