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Erschienen in:
1988 | OriginalPaper | Buchkapitel
Local Singularities of Three-Dimensional and Multidimensional Systems
verfasst von : A. F. Filippov
Erschienen in: Differential Equations with Discontinuous Righthand Sides
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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Local singularities of three-dimensional autonomous systems with piecewise continuous and piecewise smooth right-hand sides are investigated. Singularities lying on a surface of discontinuity of the right-hand side of a system or on an intersection of surfaces of discontinuity are considered. The basic topological classes of singularities are pointed out. Structurally stable singularities are distinguished. The results are partly extended to multidimensional systems.