ayman_arafa

Ayman Ali Arafa Abdellah

Lecturer - Lecturer at Faculty of Science

Faculty of science

Address: 28 Tawfeek Mohran Lane, Gharb Alhalaja St.

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Synchronization of time delay systems with non-diagonal complex scaling functions

2018 | Keywords Time delay, synchronization, Time delay Hyperchaotic Complex Lyapunov,
Synchronization of time delay systems with non-diagonal complex scaling functions
This paper deals with a kind of synchronization of dynamical systems with complex variables which is called generalized complex modified hybrid function projective synchronization (GCMHFPS) of time delay complex chaotic (hyperchaotic) systems. In other words, that the time delay complex systems can be synchronized up to a complex function transformation matrix. Moreover, the elements of the transformation matrix are complex ... Read more

On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems

2018 | Keywords Phase synchronization, Time delay,
On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems
Extensive studies have been done on the phenomenon of phase and anti-phase synchronization (APS) between one drive and one response systems. As well as, combination synchronization for chaotic and hyperchaotic systems without delay also has been investigated. Thus, this paper aims to introduce the concept of phase and anti-phase combination synchronization (PCS and APCS) between two drive and one response ... Read more

Projective synchronization for coupled partially linear complex‐variable systems with known parameters

2017 | Keywords projective synchronization passive theor,
Projective synchronization for coupled partially linear complex‐variable systems with known parameters
The passivity theory is used to achieve projective synchronization in coupled partially linear complex‐variable systems with known parameters. By using this theory, the control law is thus adopted to make state vectors asymptotically synchronized up to a desired scaling factor. This paper deals with sending different large messages which include image and voice signals. The theoretical foundation of the projective ... Read more

Chaos control of integer and fractional orders of chaotic Burke–Shaw system using time delayed feedback control

2017 | Keywords Time delayFeedback controlHopf bifurcati,
Chaos control of integer and fractional orders of chaotic Burke–Shaw system using time delayed feedback control
The aim of this paper is to investigate the control of chaotic Burke-Shaw system using Pyragas method. This system is derived from Lorenz system which has several applications in physics and engineering (e.g. secure communications). The linear stability and the existence of Hopf bifurcation of this system are investigated. Based on the characteristic equation, a theorem is stated and proved. ... Read more

Bifurcations and chaos of time delay Lorenz system with dimension 2n+ 1

2017 | Keywords Lorenz system, time delay,
Bifurcations and chaos of time delay Lorenz system with dimension 2n+ 1
The aim of this paper is to introduce a generalized form of the Lorenz system with time delay. Instead of considering each state variable of the Lorenz system belonging to R">R, the paper considers two of them belonging to Rn">Rn. Hence the Lorenz system has (2_n_+1) dimension. This system appears in several applied sciences such as engineering, physics and networks. ... Read more

On modified time delay hyperchaotic complex Lü system

2015 | Keywords Time delay Hyperchaotic Complex Lyapunov,
On modified time delay hyperchaotic complex Lü system
Time delays are often considered as sources of complex behaviors in dynamical systems. Much progress has been made in the research of time delay systems with real variables. In this article, we will focus our study on time delay complex systems. This paper investigates a modified time delay hyperchaotic complex Lü system. This system is constructed by including the constant ... Read more

On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications

2013 | Keywords projective synchronization, Secure communication,
On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications
In this paper we deal with the projective synchronization (PS) of hyperchaotic complex nonlinear systems and its application in secure communications based on passive theory. The unpredictability of the scaling factor in PS can additionally enhance the security of communications. In this paper, a scheme for secure message transmission is proposed, and we try to transmit more than one large ... Read more

Passive control of n-dimensional chaotic complex nonlinear systems

2012 | Keywords Control, passive control, minimum phase, Simulation, chaotic, complex,
Passive control of n-dimensional chaotic complex nonlinear systems
In this paper we investigate the control of _n_-dimensional chaotic complex nonlinear systems by using passive control theory. These complex systems have been introduced and studied recently in our investigations. Based on the property of the passive system, an approach is stated to design the passive controller and realize the control of these systems. As an example, we apply this ... Read more

Controlling hyperchaotic complex systems with unknown parameters based on adaptive passive method

2012 | Keywords hyperchaotic, control,
Controlling hyperchaotic complex systems with unknown parameters based on adaptive passive method
The aim of this paper is to study the control of hyperchaotic complex nonlinear systems with unknown parameters using passive control theory. An approach is stated to design the passive controller and estimate the unknown parameters based on the property of the passive system. The feasibility and effectiveness of the proposed approach is demonstrated through its application to the hyperchaotic ... Read more

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