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Isochronicity of centers in a switching Bautin system (Q656192)

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scientific article; zbMATH DE number 5998078
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Isochronicity of centers in a switching Bautin system
scientific article; zbMATH DE number 5998078

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    Isochronicity of centers in a switching Bautin system (English)
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    16 January 2012
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    Isochronicity of centers for a class of discontinuous differential system, simply called switching system, is discussed. Some sufficient conditions for the system to have a regular isochronous center at the origin are given and a switching system with an irregular isochronous center at the origin is constructed. A method to compute the period of periodic orbits near the center is given, also a method to discuss a switching Bautin system for center conditions and isochronous center conditions. All systems which have an irregular isochronous center are found.
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