Synchronization in multiplex networks

X Wu, X Wu, CY Wang, B Mao, J Lu, J Lü, YC Zhang… - Physics Reports, 2024 - Elsevier
Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

[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 …

Intermittent control for finite-time synchronization of fractional-order complex networks

L Zhang, J Zhong, J Lu - Neural Networks, 2021 - Elsevier
This paper is concerned with the finite-time synchronization problem for fractional-order
complex dynamical networks (FCDNs) with intermittent control. Using the definition of …

Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays

L Li, Z Wang, Y Li, H Shen, J Lu - Applied Mathematics and Computation, 2018 - Elsevier
In this paper, a class of complex-valued neural network model with discrete and distributed
delays is proposed. Regarding the discrete time delay as the bifurcating parameter, the …

Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays

MS Ali, G Narayanan, V Shekher, A Alsaedi… - … in Nonlinear Science …, 2020 - Elsevier
This paper investigates the stability of impulsive fractional-order complex-valued BAM
neural networks with time varying delays. As the extension of fractional-order real-valued …

Extended analysis on the global Mittag-Leffler synchronization problem for fractional-order octonion-valued BAM neural networks

J Xiao, X Guo, Y Li, S Wen, K Shi, Y Tang - Neural Networks, 2022 - Elsevier
In this paper, a new case of neural networks called fractional-order octonion-valued
bidirectional associative memory neural networks (FOOVBAMNNs) is established. First, the …

Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks

S Yang, J Yu, C Hu, H Jiang - Neural Networks, 2018 - Elsevier
In this paper, without separating the complex-valued neural networks into two real-valued
systems, the quasi-projective synchronization of fractional-order complex-valued neural …

New approach to global Mittag-Leffler synchronization problem of fractional-order quaternion-valued BAM neural networks based on a new inequality

J Xiao, S Wen, X Yang, S Zhong - Neural Networks, 2020 - Elsevier
In this paper, a novel kind of neural networks named fractional-order quaternion-valued
bidirectional associative memory neural networks (FQVBAMNNs) is formulated. On one …

Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions

X Ding, J Cao, A Alsaedi, FE Alsaadi, T Hayat - Neural Networks, 2017 - Elsevier
This paper is concerned with the fixed-time synchronization for a class of complex-valued
neural networks in the presence of discontinuous activation functions and parameter …

Global synchronization of fractional-order quaternion-valued neural networks with leakage and discrete delays

HL Li, H Jiang, J Cao - Neurocomputing, 2020 - Elsevier
In this paper, without transforming the quaternion-valued neural networks into two
equivalent complex-valued systems or four equivalent real-valued systems, a novel class of …