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arXiv · 1210.0247

On pleated singular points of first order implicit differential equations

R. A. Chertovskih·A. O. Remizov
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Abstract

We study phase portraits of a first order implicit differential equation in a neighborhood of its pleated singular point that is a non-degenerate singular point of the lifted field. Although there is no a visible local classification of implicit differential equations at pleated singular points (even in the topological category), we show that there exist only six essentially different phase portraits, which are presented.

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R. A. Chertovskih, A. O. Remizov. 2012-09-30. On pleated singular points of first order implicit differential equations. https://doi.org/10.1007/s10883-013-9209-0

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