Optimal type-2 fuzzy synchronization of two different fractional-order chaotic systems with variable orders with an application to secure communication

A Soleimanizadeh, MA Nekoui - Soft Computing, 2021 - Springer
In this paper, the synchronization problem of two different fractional-order chaotic systems
has been investigated. Variable fractional orders are considered in this problem. An optimal …

Synchronization in integer and fractional order chaotic systems

AE Matouk - Chaos Synchronization and Cryptography for Secure …, 2011 - igi-global.com
In this chapter, the author introduces the basic methods of chaos synchronization in integer
order systems, such as Pecora and Carroll method and One-Way coupling technique …

Application of Takagi–Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization

D Chen, W Zhao, JC Sprott, X Ma - Nonlinear Dynamics, 2013 - Springer
In this study, we investigate a class of chaotic synchronization and anti-synchronization with
stochastic parameters. A controller is composed of a compensation controller and a fuzzy …

Secure multiple-input multiple-output communications based on F–M synchronization of fractional-order chaotic systems with non-identical dimensions and orders

A Ouannas, N Debbouche, X Wang, VT Pham… - Applied Sciences, 2018 - mdpi.com
This paper investigates the F–M synchronization between non-identical fractional-order
systems characterized by different dimensions and different orders. F–M synchronization …

Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems

SMA Pahnehkolaei, A Alfi, JAT Machado - Computational and Applied …, 2020 - Springer
This paper studies the synchronization of a class of uncertain fractional order (FO) chaotic
systems that is applicable in secure communication. A novel hybrid FO controller, based on …

Synchronization of different fractional order chaotic systems with time-varying parameter and orders

R Behinfaraz, MA Badamchizadeh - ISA transactions, 2018 - Elsevier
In this paper, synchronization of time-varying fractional order chaotic systems, is introduced.
Parameters of system play an important role in chaotic systems. A time-varying parameter is …

Synchronization of fractional-order discrete-time chaotic systems

A Ouannas, G Grassi, AT Azar, AA Khennaouia… - … on Advanced Intelligent …, 2019 - Springer
Recently, synchronization in discrete-time chaotic systems attract more and more attentions
and has been extensively studied, due to its potential applications in secure communication …

Robust adaptive interval type-2 fuzzy synchronization for a class of fractional order chaotic systems

K Khettab, Y Bensafia, S Ladaci - Fractional Order Control and …, 2017 - Springer
This chapter presents a novel Robust Adaptive Interval Type-2 Fuzzy Logic Controller
(RAIT2FLC) equipped with an adaptive algorithm to achieve synchronization performance …

Projective synchronization via feedback controller of fractional-order chaotic systems

A Khan, MA Bhat - International Journal of Modelling and …, 2020 - Taylor & Francis
This paper presents a type of fractional-order chaotic systems with fractional order greater
than one, on which the projective synchronization via feedback controller has been applied …

Synchronization between different fractional order chaotic systems

Z Ping, C Xuefeng - 2008 7th World Congress on Intelligent …, 2008 - ieeexplore.ieee.org
A chaotic synchronization method of different fractional order chaotic systems is established,
and the mathematical proof of this synchronization method is provided. The feedback …