Control Hopf Bifurcations Based on Center Manifold

Geng Jun Zhu; Yun Shi Xiao; Xiu Shan Cai

doi:10.4028/www.scientific.net/AMR.204-210.99

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 204-210Control Hopf Bifurcations Based on Center Manifold

Control Hopf Bifurcations Based on Center Manifold

Abstract:

The stabilization problem of nonlinear systems with Hopf bifurcations is studied in this paper. The link between a feedback law and a center manifold is obtained. By choosing a feedback law that stabilizes the dynamics of a center manifold, then it can stabilize the full order system. The simulation shows the effectiveness of the method.

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Periodical:

Advanced Materials Research (Volumes 204-210)

Pages:

99-105

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.204-210.99

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Online since:

February 2011

Authors:

Geng Jun Zhu, Yun Shi Xiao, Xiu Shan Cai

Keywords:

Center Manifold Theory, Hopf Bifurcations, Nonlinear System

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References

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