Title
Topology and Differentiability of Labyrinths in the Disc and Annulus
Abstract
The study of differential equations in the plane which are locally of the form ðy / ðx =F(x,y), gives rise to labyrinths. They are limit sets of bounded solutions to this equation. This is made precise in [Ro], where the singularities considered are thorns and tripods. In part I of this paper, we shall extend the results of [Ro] to differential equations with n-prong singularities, in the disc and annulus. For the disc, the story is not essentially different from the previous case. However, for the annulus, the study is quite different and more complicated. In both cases, we obtain a topological structure theorem for solutions of the equation.
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Suggested Citation
Levitt, G.; Rosenberg, H..
(1984).
Topology and Differentiability of Labyrinths in the Disc and Annulus.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/5000.