A 3-D four-wing attractor and its analysis
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2009
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| _version_ | 1876464046685814784 |
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| author | Zenghui Wang |
| author_facet | Zenghui Wang |
| contents | A 3-D four-wing attractor and its analysis Zenghui Wang Yanxia Sun Barend Jacobus van Wyk Guoyuan Qi Michael Antonie van Wyk Física, Astronomía y Matemáticas four Chaos bifurcation wing attractor Lyapunov exponents In this paper, several three dimensional (3-D) four-wing smooth quadratic autonomous chaotic systems are analyzed. It is shown that these systems have a number of similar features. A new 3-D continuous autonomous system is proposed based on these features. The new system can generate a four-wing chaotic attractor with less terms in the system equations. Several basic properties of the new system is analyzed by means of Lyapunov exponents, bifurcation diagrams and Poincare maps. Phase diagrams show that the equilibria are related to the existence of multiple wings. 2009 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413562007 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3 Vol.39 |
| format | Artículo científico |
| id | redalyc_46413562007 |
| institution | Redalyc |
| language | en |
| publishDate | 2009 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | A 3-D four-wing attractor and its analysis Zenghui Wang Física, Astronomía y Matemáticas four Chaos bifurcation wing attractor Lyapunov exponents A 3-D four-wing attractor and its analysis Zenghui Wang Yanxia Sun Barend Jacobus van Wyk Guoyuan Qi Michael Antonie van Wyk Física, Astronomía y Matemáticas four Chaos bifurcation wing attractor Lyapunov exponents In this paper, several three dimensional (3-D) four-wing smooth quadratic autonomous chaotic systems are analyzed. It is shown that these systems have a number of similar features. A new 3-D continuous autonomous system is proposed based on these features. The new system can generate a four-wing chaotic attractor with less terms in the system equations. Several basic properties of the new system is analyzed by means of Lyapunov exponents, bifurcation diagrams and Poincare maps. Phase diagrams show that the equilibria are related to the existence of multiple wings. 2009 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413562007 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3 Vol.39 |
| title | A 3-D four-wing attractor and its analysis |
| topic | Física, Astronomía y Matemáticas four Chaos bifurcation wing attractor Lyapunov exponents |
| url | https://www.redalyc.org/articulo.oa?id=46413562007 |