[HTML][HTML] Artificial neural networks: a practical review of applications involving fractional calculus

E Viera-Martin, JF Gómez-Aguilar… - The European Physical …, 2022 - Springer
In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional
calculus (FC) theory has been developed to summarize the main features and applications …

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 …

Exploring the impact of delay on Hopf bifurcation of a type of BAM neural network models concerning three nonidentical delays

P Li, R Gao, C Xu, J Shen, S Ahmad, Y Li - Neural Processing Letters, 2023 - Springer
In this research, a kind of BAM neural networks containing three nonidentical time delays
are explored. Exploiting fixed point knowledge, we examine that the solution to the …

Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks

C Xu, M Liao, P Li, S Yuan - Chaos, Solitons & Fractals, 2021 - Elsevier
During the past decades, integer-order complex-valued neural networks have attracted
great attention since they have been widely applied in in many fields of engineering …

Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation

C Xu, Z Liu, M Liao, P Li, Q Xiao, S Yuan - Mathematics and Computers in …, 2021 - Elsevier
The stability and Hopf bifurcation have important effect on the design of neural networks. By
revealing the effect of parameters on the stability and Hopf bifurcation of neural networks, we …

Global dynamics of a fractional-order SIR epidemic model with memory

PA Naik - International journal of biomathematics, 2020 - World Scientific
In this paper, an investigation and analysis of a nonlinear fractional-order SIR epidemic
model with Crowley–Martin type functional response and Holling type-II treatment rate are …

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 mapping …

Impact of leakage delay on bifurcation in high-order fractional BAM neural networks

C Huang, J Cao - Neural Networks, 2018 - Elsevier
The effects of leakage delay on the dynamics of neural networks with integer-order have
lately been received considerable attention. It has been confirmed that fractional neural …

[HTML][HTML] Nonlinear dynamical analysis and control strategies of a network-based SIS epidemic model with time delay

L Zhu, G Guan, Y Li - Applied Mathematical Modelling, 2019 - Elsevier
In this paper, we establish a susceptible-infected-susceptible (SIS) epidemic model with
nonlinear incidence rate and time delay on complex networks. Firstly, according to the …

Dynamical behaviors of a food-chain model with stage structure and time delays

C Huang, Y Qiao, L Huang, RP Agarwal - Advances in Difference …, 2018 - Springer
Incorporating two delays (τ 1 1 represents the maturity of predator, τ 2 2 represents the
maturity of top predator), we establish a novel delayed three-species food-chain model with …