Analysis of a New Three-Dimensional Quadratic Chaotic System

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Date
2008-04
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Advisor
Referee
Mark
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Volume Title
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Společnost pro radioelektronické inženýrství
Abstract
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.
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Citation
Radioengineering. 2008, vol. 17, č. 1, s. 9-13. ISSN 1210-2512
http://www.radioeng.cz/fulltexts/2008/08_01_09_13.pdf
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Peer-reviewed
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en
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Creative Commons Attribution 3.0 Unported License
http://creativecommons.org/licenses/by/3.0/
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