A hyperchaotic system from the Rabinovich system
type: Item
instance of: scholarly article
title: A hyperchaotic system from the Rabinovich system
zbMATH Open document ID: 1191.37023
author: Yongjian Liu
author: Guoping Pang
author: Qi-Gui Yang
published in: Journal of Computational and Applied Mathematics
publication date: 2010-04-21T00:00:00Z
review text: A four-dimensional system as an extension of three dimensional Rabinovich system is studied. It is proved that the presented system is a hyperchaotic system for a special value of parameters. In fact two positive Lyapunov exponents for the system have detected. The authors also proved that the four-dimensional system has z-axis symmetry and its attractor has double-lobe structure such as the Robinovich system. The existence of a Hopf bifurcation at the origin for a special value of the controller parameter has proved. Lyapunov exponents and bifurcation have investigated numerically. The suggested system is a new system for understanding the hyperchaotic behavior.
reviewed by: M. R. Molaei
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37D25
zbMATH DE Number: 5696567
zbMATH Keywords: hyperchaos
zbMATH Keywords: ultimate boundedness
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
full work available at URL: j.cam.2009.12.008
OpenAlex ID: W2039004638
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DOI: 10.1016/J.CAM.2009.12.008
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description: scientific article; zbMATH DE number 5696567