Analysis of a New Three-Dimensional Quadratic Chaotic System
This paper has reported the finding of a new simple three dimensional quadratic chaotic system with three nonlinearities obtained by adding a cross-product nonlinear term to the first equation of the Lu system. Basic properties of the system have been analyzed by means of Lyapunov exponent spectrum...
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Spolecnost pro radioelektronicke inzenyrstvi
2008-04-01
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| Series: | Radioengineering |
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| Online Access: | http://www.radioeng.cz/fulltexts/2008/08_01_09_13.pdf |
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doaj-85c85799b8a341f0b91a4702d72a14772020-11-24T21:24:37ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122008-04-01171913Analysis of a New Three-Dimensional Quadratic Chaotic SystemZ. ElhadjThis paper has reported the finding of a new simple three dimensional quadratic chaotic system with three nonlinearities obtained by adding a cross-product nonlinear term to the first equation of the Lu system. Basic properties of the system have been analyzed by means of Lyapunov exponent spectrum and bifurcation diagram of an associated Poincare map. This analysis shows that the system has complex dynamics with some interesting characteristics in which there are several periodic regions, but each of them has quite different periodic orbits. Shilnikov's criterion is included and discussed.www.radioeng.cz/fulltexts/2008/08_01_09_13.pdfNew chaotic attractorsthree quadratic nonlinearitiesmodified Lu systemLyapunov exponent spectrumbifurcation diagramPoincare map |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Z. Elhadj |
| spellingShingle |
Z. Elhadj Analysis of a New Three-Dimensional Quadratic Chaotic System Radioengineering New chaotic attractors three quadratic nonlinearities modified Lu system Lyapunov exponent spectrum bifurcation diagram Poincare map |
| author_facet |
Z. Elhadj |
| author_sort |
Z. Elhadj |
| title |
Analysis of a New Three-Dimensional Quadratic Chaotic System |
| title_short |
Analysis of a New Three-Dimensional Quadratic Chaotic System |
| title_full |
Analysis of a New Three-Dimensional Quadratic Chaotic System |
| title_fullStr |
Analysis of a New Three-Dimensional Quadratic Chaotic System |
| title_full_unstemmed |
Analysis of a New Three-Dimensional Quadratic Chaotic System |
| title_sort |
analysis of a new three-dimensional quadratic chaotic system |
| publisher |
Spolecnost pro radioelektronicke inzenyrstvi |
| series |
Radioengineering |
| issn |
1210-2512 |
| publishDate |
2008-04-01 |
| description |
This paper has reported the finding of a new simple three dimensional quadratic chaotic system with three nonlinearities obtained by adding a cross-product nonlinear term to the first equation of the Lu system. Basic properties of the system have been analyzed by means of Lyapunov exponent spectrum and bifurcation diagram of an associated Poincare map. This analysis shows that the system has complex dynamics with some interesting characteristics in which there are several periodic regions, but each of them has quite different periodic orbits. Shilnikov's criterion is included and discussed. |
| topic |
New chaotic attractors three quadratic nonlinearities modified Lu system Lyapunov exponent spectrum bifurcation diagram Poincare map |
| url |
http://www.radioeng.cz/fulltexts/2008/08_01_09_13.pdf |
| work_keys_str_mv |
AT zelhadj analysisofanewthreedimensionalquadraticchaoticsystem |
| _version_ |
1725987290473299968 |