Control Hopf Bifurcations Based on Center Manifold
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.
Helen Zhang, Gang Shen and David Jin
G. J. Zhu et al., "Control Hopf Bifurcations Based on Center Manifold", Advanced Materials Research, Vols. 204-210, pp. 99-105, 2011