[图书][B] Elegant chaos: algebraically simple chaotic flows

JC Sprott - 2010 - books.google.com
This heavily illustrated book collects in one source most of the mathematically simple
systems of differential equations whose solutions are chaotic. It includes the historically …

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 …

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

M Jin, 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 …

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 …

Multistable dynamics and attractors self-reproducing in a new hyperchaotic complex Lü system

Y Gu, G Li, X Xu, X Song, S Wu - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Multistable dynamics analysis of complex chaotic systems is an important problem in the
field of chaotic communication security. In this paper, a new hyperchaotic complex Lü …

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 …

Decentralized adaptive coupling synchronization of fractional-order complex-variable dynamical networks

Q Xu, S Zhuang, S Liu, J Xiao - Neurocomputing, 2016 - Elsevier
In this paper, we combine decentralized adaptive control with the fractional-order techniques
to investigate the synchronization of fractional-order complex-variable dynamical networks …