Existence and uniqueness of limit cycle in discontinuous planar differential systems (Q290291)

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scientific article; zbMATH DE number 6588326
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Existence and uniqueness of limit cycle in discontinuous planar differential systems
scientific article; zbMATH DE number 6588326

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    Existence and uniqueness of limit cycle in discontinuous planar differential systems (English)
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    1 June 2016
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    This paper deals with planar discontinuous systems with a particular structure: they are smooth in four regions separated by three vertical lines. In order to obtain existence and uniqueness results for limit cycles the qualitative properties of the Poincaré left and right mappings are studied.
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    planar systems
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    discontinuous system
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    sliding limit cycle
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    existence
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    uniqueness
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    stability
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