Characteristics of the Chen Attractor
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00392923" target="_blank" >RIV/67985556:_____/13:00392923 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-00542-3" target="_blank" >http://dx.doi.org/10.1007/978-3-319-00542-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-00542-3" target="_blank" >10.1007/978-3-319-00542-3</a>
Alternative languages
Result language
angličtina
Original language name
Characteristics of the Chen Attractor
Original language description
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 thispaper 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 no
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-20433S" target="_blank" >GA13-20433S: Analysis and control of globally decomposed strongly nonlinear state space dynamical models with complex interactions of their components</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems
ISBN
978-3-319-00541-6
ISSN
2194-5357
e-ISSN
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Number of pages
8
Pages from-to
305-312
Publisher name
Springer
Place of publication
Cham
Event location
Ostrava
Event date
Jun 3, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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