Global stabilization of fractional-order memristor-based neural networks with time delay

J Jia, X Huang, Y Li, J Cao… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
This paper addresses the global stabilization of fractional-order memristor-based neural
networks (FMNNs) with time delay. The voltage threshold type memristor model is …

On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control

JF Li, H Jahanshahi, S Kacar, YM Chu… - Chaos, Solitons & …, 2021 - Elsevier
In the present paper, for the first time, we propose a variable-order hyperchaotic system for
information security. Firstly, we study the dynamical behaviors of a memristor oscillator …

Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay

Z Wang, X Wang, Y Li, X Huang - International Journal of …, 2017 - World Scientific
In this paper, the problems of stability and Hopf bifurcation in a class of fractional-order
complex-valued single neuron model with time delay are addressed. With the help of the …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model

C Xu, Y Yu, YQ Chen, Z Lu - Nonlinear dynamics, 2020 - Springer
In this paper, a generalized fractional-order SEIR model is proposed, denoted by SEIQRP
model, which divided the population into susceptible, exposed, infectious, quarantined …

Global stability analysis of fractional-order Hopfield neural networks with time delay

H Wang, Y Yu, G Wen, S Zhang, J Yu - Neurocomputing, 2015 - Elsevier
In this paper, the global stability analysis of fractional-order Hopfield neural networks with
time delay is investigated. A stability theorem for linear fractional-order systems with time …

Solutions and memory effect of fractional-order chaotic system: A review

S He, H Wang, K Sun - Chinese Physics B, 2022 - iopscience.iop.org
Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay

F Du, JG Lu - Applied Mathematics and Computation, 2021 - Elsevier
A new fractional order Gronwall inequality with time delay is developed in this paper. Based
on this inequality, a new criterion for finite-time synchronization of fractional order memristor …

Chaos, Hopf bifurcation and control of a fractional-order delay financial system

J Shi, K He, H Fang - Mathematics and Computers in Simulation, 2022 - Elsevier
The evolution of financial system depends not only on the current state, but also on the
previous state. Due to “long-term memory” and “non-locality” of the fractional derivative …

Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects

H Zhang, Y Cheng, H Zhang, W Zhang, J Cao - … and Computers in …, 2022 - Elsevier
This article discusses the global Mittag-Leffler projective synchronization (GM-LPS) on
fractional-order quaternion-valued neural networks (FOQVNNs) including mixed delays and …