Perturbations and Hopf bifurcation of the planar discontinuous dynamical system (Q703417)

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scientific article; zbMATH DE number 2126031
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Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
scientific article; zbMATH DE number 2126031

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    Perturbations and Hopf bifurcation of the planar discontinuous dynamical system (English)
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    11 January 2005
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    The author obtains results on the behavior of a specific planar discontinuous dynamical system in the neighbourhood of a singular point. A new technique of investigation is presented. Conditions for the existence of foci and centres are presented. In addition, the focus-centre problem and Hopf bifurcation are considered and some appropriate examples are given to illustrate the bifurcation theorem.
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    Hopf bifurcation
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    perturbations
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    discontinuous planar system
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