Characteristic analysis of the fractional-order hyperchaotic complex system and its image encryption application

F Yang, J Mou, J Liu, C Ma, H Yan - Signal processing, 2020 - Elsevier
To explore characteristic of a new system with fractional order and complex variables, based
on Adomian decomposition method (ADM), its nonlinear dynamical behaviors are discussed …

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 …

A novel hybrid color image encryption algorithm using two complex chaotic systems

L Wang, H Song, P Liu - Optics and Lasers in Engineering, 2016 - Elsevier
Based on complex Chen and complex Lorenz systems, a novel color image encryption
algorithm is proposed. The larger chaotic ranges and more complex behaviors of complex …

Finite‐time multi‐switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode

X Chen, T Huang, J Cao, JH Park… - IET Control Theory & …, 2019 - Wiley Online Library
This study mainly investigates finite‐time multi‐switching synchronisation of multiple
uncertain complex chaotic systems with network transmission mode. Both the unknown …

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 …

[图书][B] Numerical methods for fractal-fractional differential equations and engineering: Simulations and modeling

MA Khan, A Atangana - 2023 - taylorfrancis.com
This book is about the simulation and modeling of novel chaotic systems within the frame of
fractal-fractional operators. The methods used, their convergence, stability, and error …

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 …