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- W2964071034 abstract "The Poincaré-Bendixson theorem plays an important role in the study of the qualitative behavior of dynamical systems on the plane; it describes the structure of limit sets in such systems. We prove a version of the Poincaré-Bendixson Theorem for two dimensional hybrid dynamical systems and describe a method for computing the derivative of the Poincaré return map, a useful object for the stability analysis of hybrid systems. We also prove a Poincaré-Bendixson Theorem for a class of one dimensional hybrid dynamical systems." @default.
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- W2964071034 date "2020-01-01" @default.
- W2964071034 modified "2023-10-16" @default.
- W2964071034 title "A Poincaré-Bendixson theorem for hybrid systems" @default.
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- W2964071034 doi "https://doi.org/10.3934/mcrf.2019028" @default.
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