Abstract
Singularities in the pattern of trajectories of two-dimensional autonomous systems with piecewise continuous right-hand sides are investigated. Singularities on lines and singularities at points are topologically classified. All types of structurally stable singular points lying on a line of discontinuity of the right-hand sides of a system, singular points of first degree of structural (of codimension 1) instability and their bifurcations are indicated. Singular points lying on intersection of lines of discontinuity are examined.
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© 1988 Springer Science+Business Media Dordrecht
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Filippov, A.F. (1988). Local Singularities of Two-Dimensional Systems. In: Arscott, F.M. (eds) Differential Equations with Discontinuous Righthand Sides. Mathematics and Its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7793-9_5
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DOI: https://doi.org/10.1007/978-94-015-7793-9_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8449-1
Online ISBN: 978-94-015-7793-9
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