A new hyperchaotic system and its synchronization
type: Item
instance of: scholarly article
title: A new hyperchaotic system and its synchronization
zbMATH Open document ID: 1188.34051
author: Song Zheng
author: Gaogao Dong
author: Qinsheng Bi
published in: Applied Mathematics and Computation
publication date: 2010-02-09T00:00:00Z
review text: The authors study hyperchaotic behavior in the system \[ \begin{aligned} \dot{x} & =a\left( y-x\right) +w,\\ \dot{y} & =bx+cy+xz+w,\\ \dot{z} & =-x^{2}-hz,\\ \dot{w} & =-dy. \end{aligned} \] Varying parameter \(d,\) they explore the dynamics of the system by studying numerically Lyapunov exponents and Poincaré sections, analyzing bifurcation diagrams and periodic orbits. By employing adaptive control theory, sufficient conditions for the full state hybrid projective synchronization are derived. Numerical simulations are also provided.
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 65P20
zbMATH DE Number: 5667964
zbMATH Keywords: hyperchaotic system
zbMATH Keywords: synchronization
zbMATH Keywords: bifurcation
zbMATH Keywords: periodic orbits
reviewed by: Yuriy V. Rogovchenko
MaRDI profile type: Publication
full work available at URL: j.amc.2009.09.060
OpenAlex ID: W2057113523
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A NEW CHAOTIC ATTRACTOR COINED
cites work: Hyperchaotic behaviour of two bi-directionally coupled Chua's circuits
cites work: HYPERCHAOTIC SYNCHRONIZATION IN DETERMINISTIC SMALL-WORLD DYNAMICAL NETWORKS
cites work: Adaptive control and synchronization of a modified Chua's circuit system.
cites work: Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters
cites work: An equation for hyperchaos
cites work: HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS
cites work: Hyperchaos generated from the Lorenz chaotic system and its control
cites work: Generation and suppression of a new hyperchaotic system with double hyperchaotic attractors
cites work: Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems
cites work: Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems
cites work: Q3512874
cites work: Determining Lyapunov exponents from a time series
DOI: 10.1016/J.AMC.2009.09.060
description: scientific article; zbMATH DE number 5667964