A 3-D four-wing attractor and its analysis



Título del documento: A 3-D four-wing attractor and its analysis
Revista: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000335810
ISSN: 0103-9733
Autores: 1
1
1
1
2
Instituciones: 1Tshwane University of Technology, Department of Electrical Engineering, Pretoria, Transvaal. Sudáfrica
2University of the Witwatersrand, School of Electrical and Information Engineering, Johannesburgo, Transvaal. Sudáfrica
Año:
Periodo: Sep
Volumen: 39
Número: 3
Paginación: 547-553
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés 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
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Sistemas caóticos,
Exponentes de Lyapunov,
Atractores caóticos,
Diagramas de bifurcación
Keyword: Mathematics,
Applied mathematics,
Chaotic systems,
Lyapunov exponents,
Chaotic attractors,
Bifurcation diagrams
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