A 3-D four-wing attractor and its analysis

Zenghui Wang; Yanxia Sun; Barend Jacobus van Wyk; Guoyuan Qi; Michael Antonie van Wyk

doi:10.1590/S0103-97332009000500007

A 3-D four-wing attractor and its analysis

Zenghui Wang, Yanxia Sun, Barend Jacobus van Wyk, Guoyuan Qi, Michael Antonie van Wyk

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	547-553
Number of pages	7
Journal	Brazilian Journal of Physics
Volume	39
Issue number	3
DOIs	https://doi.org/10.1590/S0103-97332009000500007
Publication status	Published - Sept 2009
Externally published	Yes

Keywords

Bifurcation
Chaos
Four-wing attractor
Lyapunov exponents

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1590/S0103-97332009000500007

Cite this

@article{1e01a76a92ad410b9aad242b53e2362c,

title = "A 3-D four-wing attractor and its analysis",

abstract = "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.",

keywords = "Bifurcation, Chaos, Four-wing attractor, Lyapunov exponents",

author = "Zenghui Wang and Yanxia Sun and {van Wyk}, {Barend Jacobus} and Guoyuan Qi and {van Wyk}, {Michael Antonie}",

year = "2009",

month = sep,

doi = "10.1590/S0103-97332009000500007",

language = "English",

volume = "39",

pages = "547--553",

journal = "Brazilian Journal of Physics",

issn = "0103-9733",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - A 3-D four-wing attractor and its analysis

AU - Wang, Zenghui

AU - Sun, Yanxia

AU - van Wyk, Barend Jacobus

AU - Qi, Guoyuan

AU - van Wyk, Michael Antonie

PY - 2009/9

Y1 - 2009/9

N2 - 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.

AB - 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.

KW - Bifurcation

KW - Chaos

KW - Four-wing attractor

KW - Lyapunov exponents

UR - http://www.scopus.com/inward/record.url?scp=77949321987&partnerID=8YFLogxK

U2 - 10.1590/S0103-97332009000500007

DO - 10.1590/S0103-97332009000500007

M3 - Article

AN - SCOPUS:77949321987

SN - 0103-9733

VL - 39

SP - 547

EP - 553

JO - Brazilian Journal of Physics

JF - Brazilian Journal of Physics

IS - 3

ER -

A 3-D four-wing attractor and its analysis

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this