New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays

C Xu, D Mu, Z Liu, Y Pang, M Liao, C Aouiti - Communications in Nonlinear …, 2023 - Elsevier
Delay has a vital influence on the dynamics of neural networks. Exploring the effect of time
delay on the dynamics of neural networks has become a hot issue in mathematics and …

Some results on finite-time stability of stochastic fractional-order delay differential equations

D Luo, M Tian, Q Zhu - Chaos, Solitons & Fractals, 2022 - Elsevier
Finite-time stability of stochastic fractional-order delay differential equations is researched
here. Firstly, we derive the equivalent form of the considered system by using the Laplace …

Event-triggered impulsive controller design for synchronization of delayed chaotic neural networks and its fractal reconstruction: an application to image encryption

SS Mohanrasu, K Udhayakumar, TMC Priyanka… - Applied Mathematical …, 2023 - Elsevier
This paper examines synchronization of delayed chaotic neural networks with impulsive
control, event-triggered impulsive control, and event-triggered delayed impulsive control …

A comprehensive review of continuous-/discontinuous-time fractional-order multidimensional neural networks

J Cao, K Udhayakumar… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The dynamical study of continuous-/discontinuous-time fractional-order neural networks
(FONNs) has been thoroughly explored, and several publications have been made …

New exploration on bifurcation in fractional-order genetic regulatory networks incorporating both type delays

P Li, Y Li, R Gao, C Xu, Y Shang - The European Physical Journal Plus, 2022 - Springer
This study principally deals with the stability property and the emergence of Hopf bifurcation
for fractional-order genetic regulatory networks incorporating distributed delays and discrete …

Dynamical behaviors, circuit design, and synchronization of a novel symmetric chaotic system with coexisting attractors

H Qiu, X Xu, Z Jiang, K Sun, C Cao - Scientific Reports, 2023 - nature.com
In this paper, we introduce a novel three-dimension chaotic system with strange
characteristic by applying construction of a 3D chaotic circuit method. Multiple equilibria and …

Non-separation method-based robust finite-time synchronization of uncertain fractional-order quaternion-valued neural networks

HL Li, C Hu, L Zhang, H Jiang, J Cao - Applied Mathematics and …, 2021 - Elsevier
In this paper, robust finite-time synchronization (F-TS) issue is addressed for a class of
uncertain fractional-order quaternion-valued neural networks by employing non-separation …

Quantized control for finite-time synchronization of delayed fractional-order memristive neural networks: The Gronwall inequality approach

X Si, Z Wang, Y Fan - Expert Systems with Applications, 2023 - Elsevier
This paper is concerned with the finite-time synchronization (FTS) of delayed fractional-order
memristive neural networks (FMNNs) by using quantized control. Firstly, two kinds of …

Fixed-time synchronization for delayed inertial complex-valued neural networks

C Long, G Zhang, J Hu - Applied Mathematics and Computation, 2021 - Elsevier
This paper researches the problem of p-norm fixed-time synchronization for a class of
delayed inertial complex-valued neural networks (ICVNNs). By using reduced-order …

Novel stability results of multivariable fractional-order system with time delay

Z Zhang, Y Wang, J Zhang, Z Ai, F Liu - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper deduces some novel asymptotic stability criteria for different forms of
multivariable fractional-order systems (MFOS) whose fractional-order parameters are …