[PDF][PDF] A new chaotic system with line of equilibria: dynamics, passive control and circuit design

A Sambas, M Mamat, AA Arafa… - International Journal of …, 2019 - academia.edu
A new chaotic system with line equilibrium is introduced in this paper. This system consists
of five terms with two transcendental nonlinearities and two quadratic nonlinearities. Various …

An improved secure communication scheme based passive synchronization of hyperchaotic complex nonlinear system

X Wu, C Zhu, H Kan - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, an improved secure communication scheme is proposed based on passive
synchronization of hyperchaotic complex nonlinear system. The hyperchaotic complex Lü …

Oppositional backtracking search optimization algorithm for parameter identification of hyperchaotic systems

J Lin - Nonlinear Dynamics, 2015 - Springer
Parameter identification is an important issue in nonlinear science and has received
increasing interest in the recent years. In this paper, an oppositional backtracking search …

Double compound combination synchronization among eight n-dimensional chaotic systems

GM Mahmoud, TM Abed-Elhameed… - Chinese Physics …, 2018 - iopscience.iop.org
Depending on double compound synchronization and compound combination
synchronization, a new kind of synchronization is introduced which is the double compound …

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

GM Mahmoud, EE Mahmoud… - Mathematical Methods in …, 2017 - Wiley Online Library
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 …

On modified time delay hyperchaotic complex Lü system

GM Mahmoud, EE Mahmoud, AA Arafa - Nonlinear Dynamics, 2015 - Springer
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 …

Chaos suppression via integrative time delay control

AA Arafa, Y Xu, GM Mahmoud - International Journal of Bifurcation …, 2020 - World Scientific
A general strategy for suppressing chaos in chaotic Burke–Shaw system using integrative
time delay (ITD) control is proposed, as an example. The idea of ITD is that the feedback is …

Random adaptive control for cluster synchronization of complex networks with distinct communities

Z Tang, JH Park, TH Lee, J Feng - International Journal of …, 2016 - Wiley Online Library
In this paper, we investigate the cluster synchronization for complex networks with time‐
varying delayed couplings, stochastic disturbance, and non‐identical nodes in different …

Synchronization of hyperchaotic dynamical systems with different dimensions

GM Mahmoud, TM Abed-Elhameed, H Khalaf - Physica Scripta, 2021 - iopscience.iop.org
The combination synchronization (CS) and combination-combination synchronization (CCS)
for chaotic and hyperchaotic dynamical systems with the same dimensions are introduced …

[HTML][HTML] Generation and suppression of a new hyperchaotic nonlinear model with complex variables

EE Mahmoud - Applied Mathematical Modelling, 2014 - Elsevier
In this paper, we introduce a new hyperchaotic complex Chen model. This hyperchaotic
complex system is constructed by adding a complex nonlinear term to the third equation of …