What is the most suitable Lyapunov function?

P Zhou, X Hu, Z Zhu, J Ma - Chaos, Solitons & Fractals, 2021 - Elsevier
Lyapunov function provides feasible estimation and prediction of nonlinear system stability,
and useful guidance for adaptive control in chaos and synchronization approach. In case of …

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 …

Influence of multiple time delays on bifurcation of fractional-order neural networks

C Xu, M Liao, P Li, Y Guo, Q Xiao, S Yuan - Applied Mathematics and …, 2019 - Elsevier
In this article, on the basis of predecessors, works, we will propose a new fractional-order
neural network model with multiple delays. Letting two different delays be bifurcation …

On predefined-time synchronisation of chaotic systems

CA Anguiano-Gijón, AJ Muñoz-Vázquez… - Chaos, Solitons & …, 2019 - Elsevier
An active control Lyapunov-function design for predefined-time synchronisation of chaotic
systems, based on the Lorenz attractor, is proposed in this paper. The proposed controller …

A hyperchaotic memristor oscillator with fuzzy based chaos control and LQR based chaos synchronization

K Rajagopal, H Jahanshahi, M Varan, I Bayır… - … -International Journal of …, 2018 - Elsevier
Chaotic and hyperchaotic systems with interesting behaviors have been of interest in the
recent years. In this paper we introduce a hyperchaotic memristor oscillator which shows …

On the relay coupling of three fractional-order oscillators with time-delay consideration: Global and cluster synchronizations

R Kengne, R Tchitnga, S Mabekou, BRW Tekam… - Chaos, Solitons & …, 2018 - Elsevier
The relay coupling of three fractional-order two-stage oscillators in the presence of time
delay has been explored theoretically, numerically and analogically. The global stabilization …

Chaotic oscillator based on memcapacitor and meminductor

X Wang, J Yu, C Jin, HHC Iu, S Yu - Nonlinear Dynamics, 2019 - Springer
Memcapacitor and meminductor are two new nonlinear memory circuit components defined
on the basis of memristor. In the absence of physical devices of memcapacitor and …

Synchronization, circuit and secure communication implementation of a memristor-based hyperchaotic system using single input controller

J Luo, S Qu, Y Chen, X Chen, Z Xiong - Chinese Journal of Physics, 2021 - Elsevier
In this paper, we investigate a circuit implementation of memristor-based chaotic
synchronization with a single input controller. Firstly, based on the cubic function model of …

Adaptive synchronization for a class of fractional order time-delay uncertain chaotic systems via fuzzy fractional order neural network

X Zhang, X Zhang, D Li, D Yang - International Journal of Control …, 2019 - Springer
Uncertainty and delay are common phenomena in chaotic systems, but their existence will
increase the difficulty of synchronization. For the sake of actualizing synchronization of …

Fast disturbance-observer-based robust integral terminal sliding mode control of a hyperchaotic memristor oscillator

A Yousefpour, H Jahanshahi - The European Physical Journal Special …, 2019 - Springer
This paper is concerned with the stabilization and tracking control of a hyperchaotic
memristor oscillator using a novel disturbance-observer-based integral terminal sliding …