Bifurcation mechanism for fractional-order three-triangle multi-delayed neural networks

C Xu, Z Liu, P Li, J Yan, L Yao - Neural Processing Letters, 2023 - Springer
This article is basically concerned with the stability and Hopf bifurcation problem of fractional-
order three-triangle multi-delayed neural networks. Based on laplace transform, we obtain …

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 …

Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system

P Li, R Gao, C Xu, Y Li, A Akgül, D Baleanu - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we are concerned with the dynamics of a new established fractional-order
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …

Theoretical analysis and computer simulations of a fractional order bank data model incorporating two unequal time delays

C Xu, Z Liu, M Liao, L Yao - Expert Systems with Applications, 2022 - Elsevier
In order to reveal the change law of bank data and manage bank effectively, building
mathematical models is a very effective approach. In this present study, we set up a novel …

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 …

[HTML][HTML] Chaos control for a fractional-order jerk system via time delay feedback controller and mixed controller

C Xu, M Liao, P Li, L Yao, Q Qin, Y Shang - Fractal and Fractional, 2021 - mdpi.com
In this study, we propose a novel fractional-order Jerk system. Experiments show that, under
some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon …

Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays

C Xu, W Zhang, C Aouiti, Z Liu… - Mathematical Methods in …, 2022 - Wiley Online Library
In this study, a class of novel fractional‐order bi‐directional associative memory (BAM)
neural networks involving double time delays are put up and investigated. First of all, we …

Novel order-dependent passivity conditions of fractional generalized Cohen–Grossberg neural networks with proportional delays

H Zhang, C Wang, R Ye, I Stamova, J Cao - Communications in Nonlinear …, 2023 - Elsevier
This work delves into the passivity of fractional generalized Cohen–Grossberg neural
networks (CGNNs) with proportional delays. In particular, two forms of Lipschitz conditions …

Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays

C Xu, W Zhang, C Aouiti, Z Liu… - … Methods in the Applied …, 2023 - Wiley Online Library
This work principally probes into the stability, the existence, and control of Hopf bifurcation of
new established fractional‐order delayed bidirectional associative memory (BAM) neural …

Exploration of bifurcation for a fractional-order BAM neural network with n+ 2 neurons and mixed time delays

Y Wang, J Cao, C Huang - Chaos, Solitons & Fractals, 2022 - Elsevier
This article aims to deal with the stability and Hopf bifurcation analysis for a type of fractional-
order bidirectional associative memory (BAM) neural network involving two neurons in the X …