Original title: Characteristics of the Chen Attractor
Authors: Augustová, Petra ; Beran, Zdeněk
Document type: Papers
Conference/Event: Nostradamus 2013, Ostrava (CZ), 2013-06-03 / 2013-06-05
Year: 2013
Language: eng
Abstract: Within the paper a mathematical representation of the so-called Chen model is described as a particular parametric three-dimensional chaotic dynamical system, i.e. a system of three nonlinear differential equations evolving in time. The main aim of this paper is to find for the Chen system the properties that are known for the Lorenz system and its famous Lorenz attractor. First, the integrals of motion are derived for some parameters of the Chen system. The integrals of motions play an important role in physics, e.g. for conservation laws. Next, the shape of the global attractor of this system is approximated by volumes that contain the attractor. The shape predicts the future behavior of the system. To obtain these results, the already proved fact that the Chen system is a continued transition of the Lorenz system is used. According to our knowledge, the same approach of shifting the known facts about the Lorenz system to a newdynamical system, the Chen system in this context, has not been presented yet.
Keywords: chaotic dynamical system; Chen system; Lorenz system
Project no.: GA13-20433S (CEP)
Funding provider: GA ČR
Host item entry: Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems, ISBN 978-3-319-00541-6, ISSN 2194-5357

Institution: Institute of Information Theory and Automation AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0221979

Permalink: http://www.nusl.cz/ntk/nusl-155357


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