Applications of the generalized Schwarzian derivative to the analysis of bifurcations of limit cycles |
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Authors: | N A Yakushkin |
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Institution: | 1.Obninsk Institute for Nuclear Energy,Obninsk,Russia |
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Abstract: | We state and prove a theorem on the equality of the real part of the generalized Schwarzian derivative computed along a bifurcating
limit cycle of a family of vector fields defined in ℝ
n
to the first Lyapunov quantity of the corresponding Poincaré map. |
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Keywords: | |
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