Journal of Systems Engineering and Electronics ›› 2008, Vol. 19 ›› Issue (4): 752-757.
• CONTROL THEORY AND APPLICATION • Previous Articles Next Articles
An Yichun1, Zhang Qingling1, Zhu Yukun2 & Zhang Yan1
Online:
Published:
Abstract:
The singularly perturbed bifurcation subsystem is described, and the test conditions of subsystem persistence are deduced. By use of fast and slow reduced subsystem model, the result does not require performing nonlinear transformation. Moreover, it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold. Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system.
An Yichun, Zhang Qingling, Zhu Yukun & Zhang Yan. Singularly perturbed bifurcation subsystem and its application in power systems[J]. Journal of Systems Engineering and Electronics, 2008, 19(4): 752-757.
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https://www.jseepub.com/EN/Y2008/V19/I4/752