On the synchronization and stabilization of fractional-order chaotic systems: Recent advances and future perspectives

MA Balootaki, H Rahmani, H Moeinkhah… - Physica A: Statistical …, 2020 - Elsevier
Chaos is one of the most significant findings in physics and engineering. Fractional-order
chaotic systems are nonlinear systems with special features which, some of them include …

Chaos synchronization in fractional differential systems

F Zhang, G Chen, C Li, J Kurths - … Transactions of the …, 2013 - royalsocietypublishing.org
This paper presents a brief overview of recent developments in chaos synchronization in
coupled fractional differential systems, where the original viewpoints are retained. In …

Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems

A Modiri, S Mobayen - ISA transactions, 2020 - Elsevier
The main goal in this article is synchronization of fractional-order uncertain chaotic systems
in the finite time. For this aim, a terminal sliding mode controller with fractional sliding …

Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control

H Zhang, T Ma, GB Huang… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
This paper is concerned with the robust exponential synchronization problem of a class of
chaotic delayed neural networks with different parametric uncertainties. A novel impulsive …

Chaos synchronization of fractional chaotic maps based on the stability condition

GC Wu, D Baleanu, HP Xie, FL Chen - Physica A: Statistical Mechanics and …, 2016 - Elsevier
In the fractional calculus, one of the main challenges is to find suitable models which are
properly described by discrete derivatives with memory. Fractional Logistic map and …

Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system

C Huang, J Cao - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
This paper is concerned with the issues of synchronization and anti-synchronization for
fractional chaotic financial system with market confidence by taking advantage of active …

Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller

C Baishya, RN Premakumari, ME Samei… - Chaos, Solitons & …, 2023 - Elsevier
Nuclear magnetic resonance is commonly used in engineering, chemistry, and medicine to
study complex materials by relating magnetization to applied radiofrequency, gradient, and …

Synchronization of different fractional order chaotic systems using active control

S Bhalekar, V Daftardar-Gejji - Communications in Nonlinear Science and …, 2010 - Elsevier
Synchronization of fractional order chaotic dynamical systems is receiving increasing
attention owing to its interesting applications in secure communications of analog and digital …

[HTML][HTML] A fractional atmospheric circulation system under the influence of a sliding mode controller

RN Premakumari, C Baishya, P Veeresha, L Akinyemi - Symmetry, 2022 - mdpi.com
The earth's surface is heated by the large-scale movement of air known as atmospheric
circulation, which works in conjunction with ocean circulation. More than 10 5 variables are …

Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode …

MP Aghababa - Nonlinear Dynamics, 2012 - Springer
In this paper, a novel fractional-order terminal sliding mode control approach is introduced to
control/synchronize chaos of fractional-order nonautonomous chaotic/hyperchaotic systems …