[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 …

Generalized synchronization of different dimensional chaotic dynamical systems in discrete time

A Ouannas, Z Odibat - Nonlinear Dynamics, 2015 - Springer
In this paper, the classical problem and the inverse problem of generalized synchronization
for different dimensional chaotic dynamical systems in discrete time are investigated. The …

Drive–response asymptotic shape synchronization for a class of two-dimensional chaotic systems and its application in image encryption

Y Huang, H Huang, Y Huang, Y Wang, F Yu… - Physica D: Nonlinear …, 2024 - Elsevier
This paper proposes the concept of drive–response asymptotic shape synchronization for
two-dimensional chaotic systems and its application in image encryption. It overcomes the …

Complex function projective synchronization of complex chaotic system and its applications in secure communication

S Liu, F Zhang - Nonlinear Dynamics, 2014 - Springer
To develop secure communication, the paper presents complex function projective
synchronization (CFPS) of complex chaotic systems. Aimed to coupled complex chaotic …

Hyperchaos, extreme multistability, and hidden attractors in the novel complex nonlinear system and its adaptive hybrid synchronization

M **, K Sun, H Wang - Nonlinear Dynamics, 2022 - Springer
In this paper, a novel hyperchaotic complex nonlinear system is proposed by introducing a
simple linear feedback controller and a complex constant to the complex simplified Lorenz …

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 …

Complex complete synchronization of two nonidentical hyperchaotic complex nonlinear systems

EE Mahmoud - Mathematical Methods in the Applied Sciences, 2014 - Wiley Online Library
In this paper, we introduce the definition of complex complete synchronization (CCS) of
hyperchaotic complex nonlinear systems that have not been introduced recently in the …

Hidden attractors in a new complex generalised Lorenz hyperchaotic system, its synchronisation using adaptive contraction theory, circuit validation and application

JP Singh, BK Roy - Nonlinear Dynamics, 2018 - Springer
Objectives of the paper are (1) to design two new real and complex no equilibrium point
hyperchaotic systems,(2) to design synchronisation technique for the new systems using the …

Dynamical properties and complex anti synchronization with applications to secure communications for a novel chaotic complex nonlinear model

EE Mahmoud, SM Abo-Dahab - Chaos, Solitons & Fractals, 2018 - Elsevier
In this work, we present another chaotic (or hyperchaotic) complex nonlinear framework.
This chaotic (or hyperchaotic) complex framework can be considered as a speculation of” …