Exponential stability analysis of travelling waves solutions for nonlinear delayed cellular neural networks

Y Guo - Dynamical Systems, 2017 - Taylor & Francis
In this paper, the exponential stability of travelling waves solutions for nonlinear cellular
neural networks with distribute delays in the lattice is studied. The weighted energy method …

Spreading speeds of cellular neural networks model with time delay

Z Bai, T Yang - Chaos, Solitons & Fractals, 2022 - Elsevier
The paper aims to quantitatively study the influence of parameters on the spreading speeds
of cellular neural networks model with time delay. We first show the continuity of the …

A neural network study of Blasius equation

H Mutuk - Neural Processing Letters, 2020 - Springer
In this work we applied a feed forward neural network to solve Blasius equation which is a
third-order nonlinear differential equation. Blasius equation is a kind of boundary layer flow …

Stability for monostable wave fronts of delayed lattice differential equations

CH Hsu, JJ Lin, TS Yang - Journal of Dynamics and Differential Equations, 2017 - Springer
This paper is concerned with the stability of traveling wave fronts for delayed monostable
lattice differential equations. We first investigate the existence non-existence and …

Traveling waves for nonlinear cellular neural networks with distributed delays

ZX Yu, R Yuan, CH Hsu, Q Jiang - Journal of Differential Equations, 2011 - Elsevier
In this paper, we will establish the existence and nonexistence of traveling waves for
nonlinear cellular neural networks with finite or infinite distributed delays. The dynamics of …

Entire solutions of nonlinear cellular neural networks with distributed time delays

SL Wu, CH Hsu - Nonlinearity, 2012 - iopscience.iop.org
Entire solutions of nonlinear cellular neural networks with distributed time delays Page 1
Nonlinearity PAPER Entire solutions of nonlinear cellular neural networks with distributed time …

Structure of a class of traveling waves in delayed cellular neural networks

CH Hsu, SY Yang - Discrete and Continuous Dynamical Systems, 2005 - aimsciences.org
This work investigates the structure of a class of traveling wave solutions of delayed cellular
neural networks distributed in the one-dimensional integer lattice $\mathbb Z^ 1$. The …

[HTML][HTML] Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays

SL Wu, TC Niu - Journal of Mathematical Analysis and Applications, 2016 - Elsevier
The purpose of this article is to study various qualitative properties of traveling waves for
nonlinear cellular neural networks with distributed delays. The existence of monotone …

Existence of traveling wave solutions in nonlinear delayed cellular neural networks

X Liu, P Weng, Z Xu - Nonlinear Analysis: Real World Applications, 2009 - Elsevier
This paper is concerned with the existence of traveling wave solutions of cellular neural
network systems distributed in the one-dimensional lattice Z. The dynamics of each given …

Wave propagation in RTD-based cellular neural networks

CH Hsu, SY Yang - Journal of Differential Equations, 2004 - Elsevier
This work investigates the existence of monotonic traveling wave and standing wave
solutions of RTD-based cellular neural networks in the one-dimensional integer lattice Z 1 …