Complete synchronization of chaotic complex nonlinear systems with uncertain parameters

GM Mahmoud, EE Mahmoud - Nonlinear Dynamics, 2010 - Springer
Our main objective in this work is to investigate complete synchronization (CS) of n-
dimensional chaotic complex systems with uncertain parameters. An adaptive control …

Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model

AE Matouk, AA Elsadany - Nonlinear Dynamics, 2016 - Springer
In this paper, the fractional-order generalized Lotka–Volterra (GLV) model and its
discretization are investigated qualitatively. A sufficient condition for existence and …

Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems

GM Mahmoud, EE Mahmoud - Nonlinear Dynamics, 2010 - Springer
A scheme is designed to achieve phase synchronization (PS) and antiphase
synchronization (APS) for an n-dimensional hyperchaotic complex nonlinear system. For this …

[HTML][HTML] Dynamics and synchronization of new hyperchaotic complex Lorenz system

EE Mahmoud - Mathematical and Computer Modelling, 2012 - Elsevier
The aim of this paper is to introduce a new hyperchaotic complex Lorenz system. This
hyperchaotic complex system is constructed by adding a linear controller to the second …

On the hyperchaotic complex Lü system

GM Mahmoud, EE Mahmoud, ME Ahmed - Nonlinear Dynamics, 2009 - Springer
The aim of this paper is to introduce the new hyperchaotic complex Lü system. This system
has complex nonlinear behavior which is studied and investigated in this work. Numerically …

Lag synchronization of hyperchaotic complex nonlinear systems

GM Mahmoud, EE Mahmoud - Nonlinear Dynamics, 2012 - Springer
In this paper, we study the lag synchronization (LS) of n-dimensional hyperchaotic complex
nonlinear systems. The idea of the nonlinear control technique based on the complex …

Combination complex synchronization of three chaotic complex systems

J Sun, G Cui, Y Wang, Y Shen - Nonlinear Dynamics, 2015 - Springer
In this paper, we firstly design a chaotic complex system and study its dynamical properties
including invariance, dissipativity, equilibria, Lyapunov exponents, chaotic behavior, as well …

Adaptive anti-synchronization of chaotic complex nonlinear systems with unknown parameters

S Liu, P Liu - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
This paper presents the adaptive anti-synchronization of a class of chaotic complex
nonlinear systems described by a united mathematical expression with fully uncertain …

Analysis of hyperchaotic complex Lorenz systems

GM Mahmoud, ME Ahmed… - International Journal of …, 2008 - World Scientific
This paper introduces and analyzes new hyperchaotic complex Lorenz systems. These
systems are 6-dimensional systems of real first order autonomous differential equations and …

Synchronization and control of hyperchaotic complex Lorenz system

GM Mahmoud, EE Mahmoud - Mathematics and Computers in Simulation, 2010 - Elsevier
The aim of this paper is to investigate the phenomenon of projective synchronization (PS)
and modified projective synchronization (MPS) of hyperchaotic attractors of hyperchaotic …