Synchronization of fractional order chaotic systems using active control method

SK Agrawal, M Srivastava, S Das - Chaos, Solitons & Fractals, 2012 - Elsevier
In this article, the active control method is used for synchronization of two different pairs of
fractional order systems with Lotka–Volterra chaotic system as the master system and the …

Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells

S Mohammadi, SR Hejazi - Mathematics and Computers in Simulation, 2023 - Elsevier
The purpose of this paper is to investigate optimal control the non-linear fractional-order
chaotic system of cancer cells by use of particle swarm optimization and genetic algorithms …

Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method

M Srivastava, SP Ansari, SK Agrawal, S Das… - Nonlinear …, 2014 - Springer
This article deals with the anti-synchronization between two identical chaotic fractional-order
Qi system, Genesio–Tesi system, and also between two different fractional-order Genesio …

Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function

S Eshaghi, RK Ghaziani, A Ansari - Mathematics and computers in …, 2020 - Elsevier
This paper deals with the stability and bifurcation of equilibria in a new chaotic fractional-
order system in the sense of the Caputo fractional derivative with the chaos entanglement …

LMI-based stabilization of a class of fractional-order chaotic systems

M Faieghi, S Kuntanapreeda, H Delavari… - Nonlinear Dynamics, 2013 - Springer
Based on the theory of stabilization of fractional-order LTI interval systems, a simple
controller for stabilization of a class of fractional-order chaotic systems is proposed in this …

Finite-time fractional-order adaptive intelligent backstepping sliding mode control of uncertain fractional-order chaotic systems

N Bigdeli, HA Ziazi - Journal of the Franklin Institute, 2017 - Elsevier
This paper precedes chaos control of fractional-order chaotic systems in presence of
uncertainty and external disturbances. Based on some basic properties on fractional …

Hidden chaotic attractors in fractional-order systems

MF Danca - Nonlinear Dynamics, 2017 - Springer
In this paper, we present a scheme for uncovering hidden chaotic attractors in nonlinear
autonomous systems of fractional order. The stability of equilibria of fractional-order systems …

Fixed-time control of a class of fractional-order chaotic systems via backstepping method

R Luo, S Liu, Z Song, F Zhang - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper investigates the fixed-time control of a class of fractional-order systems via the
backstepping method. A new fractional-order fixed-time stability theorem, which is a …

Control and synchronization of a class of uncertain fractional order chaotic systems via adaptive backstepping control

MK Shukla, BB Sharma - Asian Journal of Control, 2018 - Wiley Online Library
This paper presents the stabilization and synchronization problem of a class of fractional
order chaotic systems with unknown parameters. A systematic step by step approach is …

Global analysis of a fractional-order viral model with lytic and non-lytic adaptive immunity

M Naim, Z Yaagoub, A Zeb, M Sadki, K Allali - Modeling Earth Systems …, 2024 - Springer
In this paper, we suggest a new fractional virus model with two routes of infection. The first is
the usual virus-to-cell infection and the other is the direct transmission of cell-to-cell. The …