A singular approach to discontinuous vector fields on the plane
نویسندگان
چکیده
منابع مشابه
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متن کاملPoincaré and Lie renormalized forms for regular singular points of vector fields in the plane
We discuss the local behaviour of vector fields in the plane R around a regular singular point, using recently introduced reduced normal forms, i.e. Poincaré and Lie renormalized forms [30, 31, 32]. We give a complete classification, and provide explicit formulas, using Poincaré renormalized forms for non-degenerate cases, and Lie ones for certain degenerate cases. Both schemes are completely a...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2006
ISSN: 0022-0396
DOI: 10.1016/j.jde.2006.08.017