Stability and bifurcation analysis of a class of networked dynamical systems

Guofeng Zhang; Wei Xing Zheng

doi:10.1109/TCSII.2009.2024251

Stability and bifurcation analysis of a class of networked dynamical systems

Guofeng Zhang, Wei Xing Zheng

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

In this brief, stability and bifurcation in a class of networked dynamical systems are investigated. First, it is shown that, for each member of the family, there is a globally attracting region. Then, the local stability of a particular fixed point (0, 0) is investigated; afterward, it is found that this fixed point is a bifurcation point as a certain system parameter varies. Finally, a family of 3-D dynamical systems is numerically studied, with rich and diverse bifurcating phenomena and geometrically different attractors being revealed. It is also observed that the geometry of attractors undergoes continuous deformation as a function of a certain parameter.

Original language	English
Pages (from-to)	664-668
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	56
Issue number	8
DOIs	https://doi.org/10.1109/TCSII.2009.2024251
Publication status	Published - 2009

Keywords

attractor
bifurcation

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10.1109/TCSII.2009.2024251

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abstract = "In this brief, stability and bifurcation in a class of networked dynamical systems are investigated. First, it is shown that, for each member of the family, there is a globally attracting region. Then, the local stability of a particular fixed point (0, 0) is investigated; afterward, it is found that this fixed point is a bifurcation point as a certain system parameter varies. Finally, a family of 3-D dynamical systems is numerically studied, with rich and diverse bifurcating phenomena and geometrically different attractors being revealed. It is also observed that the geometry of attractors undergoes continuous deformation as a function of a certain parameter.",

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AU - Zhang, Guofeng

AU - Zheng, Wei Xing

PY - 2009

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AB - In this brief, stability and bifurcation in a class of networked dynamical systems are investigated. First, it is shown that, for each member of the family, there is a globally attracting region. Then, the local stability of a particular fixed point (0, 0) is investigated; afterward, it is found that this fixed point is a bifurcation point as a certain system parameter varies. Finally, a family of 3-D dynamical systems is numerically studied, with rich and diverse bifurcating phenomena and geometrically different attractors being revealed. It is also observed that the geometry of attractors undergoes continuous deformation as a function of a certain parameter.

KW - attractor

KW - bifurcation

UR - http://hdl.handle.net/1959.7/uws:9712

U2 - 10.1109/TCSII.2009.2024251

DO - 10.1109/TCSII.2009.2024251

M3 - Article

SN - 1549-7747

VL - 56

SP - 664

EP - 668

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 8

ER -

Stability and bifurcation analysis of a class of networked dynamical systems

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Keywords

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