Hopf bifurcation control: A new approach |
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Authors: | Fernando Verduzco Joaquin Alvarez |
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Affiliation: | aSonora University (UNISON), Mexico;bScientific Research and Advanced Studies Center of Ensenada (CICESE), Mexico |
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Abstract: | In this paper we find conditions to control a Hopf bifurcation in a class of nonlinear systems whose linear approximation has two eigenvalues on the imaginary axis, without assuming that the system is controllable. We use the center manifold theorem to project the dynamics on a two dimensional manifold, and design a controller that permits us to decide the stability and direction of the emerging periodic solution. |
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Keywords: | Hopf bifurcation Center manifold Bifurcation control |
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