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Control of the Hopf bifurcation in the Takens-Bogdanov bifurcation | IEEE Conference Publication | IEEE Xplore

Control of the Hopf bifurcation in the Takens-Bogdanov bifurcation


Abstract:

It is a well-known result that in a versal deformation of the Takens-Bogdanov bifurcation is possible to find dynamical systems that undergo saddle-node, homoclinic and H...Show More

Abstract:

It is a well-known result that in a versal deformation of the Takens-Bogdanov bifurcation is possible to find dynamical systems that undergo saddle-node, homoclinic and Hopf bifurcations. In this document a nonlinear control system in the plane is considered, whose nominal vector field undergoes the Takens-Bogdanov bifurcation, and then the idea is to design a scalar control law such that the closed-loop system undergoes the called controllable Hopf bifurcation.
Date of Conference: 09-11 December 2008
Date Added to IEEE Xplore: 06 January 2009
ISBN Information:
Print ISSN: 0191-2216
Conference Location: Cancun, Mexico

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