Bifurcation analysis of the QI 3-D four-wing chaotic system

Yanxia Sun; Guoyuan Qi; Zenghui Wanga; Barend Jacobus Van Wyk

Bifurcation analysis of the QI 3-D four-wing chaotic system

Yanxia Sun, Guoyuan Qi, Zenghui Wanga, Barend Jacobus Van Wyk

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

5 Citations (Scopus)

Abstract

This paper analyzes the pitchfork and Hopf bifurcations of a new 3-D four-wing quadratic autonomous system proposed by Qi et al. The center manifold technique is used to reduce the dimensions of this system. The pitchfork and Hopf bifurcations of the system are theoretically analyzed. The influence of system parameters on other bifurcations are also investigated. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

Original language	English
Pages (from-to)	767-778
Number of pages	12
Journal	Acta Physica Polonica B
Volume	41
Issue number	4
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

Cite this

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title = "Bifurcation analysis of the QI 3-D four-wing chaotic system",

abstract = "This paper analyzes the pitchfork and Hopf bifurcations of a new 3-D four-wing quadratic autonomous system proposed by Qi et al. The center manifold technique is used to reduce the dimensions of this system. The pitchfork and Hopf bifurcations of the system are theoretically analyzed. The influence of system parameters on other bifurcations are also investigated. The theoretical analysis and simulations demonstrate the rich dynamics of the system.",

author = "Yanxia Sun and Guoyuan Qi and Zenghui Wanga and {Van Wyk}, {Barend Jacobus}",

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journal = "Acta Physica Polonica B",

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AU - Qi, Guoyuan

AU - Wanga, Zenghui

AU - Van Wyk, Barend Jacobus

PY - 2010

Y1 - 2010

N2 - This paper analyzes the pitchfork and Hopf bifurcations of a new 3-D four-wing quadratic autonomous system proposed by Qi et al. The center manifold technique is used to reduce the dimensions of this system. The pitchfork and Hopf bifurcations of the system are theoretically analyzed. The influence of system parameters on other bifurcations are also investigated. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

AB - This paper analyzes the pitchfork and Hopf bifurcations of a new 3-D four-wing quadratic autonomous system proposed by Qi et al. The center manifold technique is used to reduce the dimensions of this system. The pitchfork and Hopf bifurcations of the system are theoretically analyzed. The influence of system parameters on other bifurcations are also investigated. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

UR - http://www.scopus.com/inward/record.url?scp=77954998863&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77954998863

SN - 0587-4254

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SP - 767

EP - 778

JO - Acta Physica Polonica B

JF - Acta Physica Polonica B

IS - 4

ER -

Bifurcation analysis of the QI 3-D four-wing chaotic system

Abstract

ASJC Scopus subject areas

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