Insight into Hopf bifurcation and control methods in fractional order BAM neural networks incorporating symmetric structure and delay
P Li, Y Lu, C Xu, J Ren - Cognitive Computation, 2023 - Springer
The trait of solution, bifurcation mechanism, and stability of delayed BAM neural network
models have attracted great attention from many scholars. But the exploration about the …
models have attracted great attention from many scholars. But the exploration about the …
Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay
W Ou, C Xu, Q Cui, Z Liu, Y Pang… - … Methods in the …, 2023 - Wiley Online Library
Applying delayed dynamical models to characterize the dynamics of neural networks has
attracted great interest from scientific community. In this current manuscript, a kind of new tri …
attracted great interest from scientific community. In this current manuscript, a kind of new tri …
Further exploration on bifurcation of fractional-order six-neuron bi-directional associative memory neural networks with multi-delays
C Xu, Z Liu, L Yao, C Aouiti - Applied mathematics and computation, 2021 - Elsevier
This study mainly explores fractional-order six-neuron bi-directional associative memory
(BAM) neural networks involving multi-delays. Taking advantage of contraction map** …
(BAM) neural networks involving multi-delays. Taking advantage of contraction map** …
Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay
C Xu, Q Zhang - Neurocomputing, 2015 - Elsevier
This paper is concerned with the existence and exponential stability of anti-periodic
solutions of BAM neural networks with inertial term and delay. Applying inequality …
solutions of BAM neural networks with inertial term and delay. Applying inequality …
Hopf Bifurcation of an -Neuron Bidirectional Associative Memory Neural Network Model With Delays
Recent studies on Hopf bifurcations of neural networks with delays are confined to simplified
neural network models consisting of only two, three, four, five, or six neurons. It is well known …
neural network models consisting of only two, three, four, five, or six neurons. It is well known …
Tracking the algebraic multiplicity of crossing imaginary roots for generic quasipolynomials: A Vandermonde-based approach
A standard approach in analyzing dynamical systems consists in identifying and
understanding the eigenvalues bifurcations when crossing the imaginary axis. Efficient …
understanding the eigenvalues bifurcations when crossing the imaginary axis. Efficient …
Stability and Hopf bifurcation analysis of a general tri-diagonal BAM neural network with delays
T Wang, Y Wang, Z Cheng - Neural Processing Letters, 2021 - Springer
In this article, a general tri-diagonal bidirectional associative memory (BAM) neural network
model with 2 n-neurons is proposed. Our investigates have some distinct superiorities …
model with 2 n-neurons is proposed. Our investigates have some distinct superiorities …
Stability and Hopf bifurcation analysis of a simplified six-neuron tridiagonal two-layer neural network model with delays
T Wang, Z Cheng, R Bu, R Ma - Neurocomputing, 2019 - Elsevier
Firstly, a general tridiagonal two-layer neural network model with 2 n-neuron is proposed,
where every layer has time delay. A new method of Hopf bifurcation analysis is introduced …
where every layer has time delay. A new method of Hopf bifurcation analysis is introduced …
[PDF][PDF] Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms
CJ Xu, PL Li - J. Nonlinear Sci. Appl, 2016 - emis.de
This paper is concerned with the existence and exponential stability of anti-periodic
solutions of a neutral BAM neural network with time-varying delays in the leakage terms …
solutions of a neutral BAM neural network with time-varying delays in the leakage terms …
Nonidentical coupled networks with a geographical model for human behaviors during catastrophic events
G Cantin - International Journal of Bifurcation and Chaos, 2017 - World Scientific
The purpose of this work is to study coupled networks of nonidentical instances of the PCR
system (Panic-Control-Reflex), which is a geographical model for human behaviors during …
system (Panic-Control-Reflex), which is a geographical model for human behaviors during …