Structurally stable discontinuous vector fields in the plane

By J. Sotomayor, Ana Lúcia F. Machado. 2002

54 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d4353e009f85419bc910d3ef615a7e81dc155d5c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Marco Antonio Teixeira
2. Paulo Ricardo da Silva
3. Rodrigo D. Euz'ebio
4. Jaume Llibre
5. Douglas Duarte Novaes

Citations in the corpus

• A singular approach to discontinuous vector fields on the plane (2006, background): “Correlated problems can be obtained in [7,9,10,12] and basic results for differential equations in this context can be found in [6].”
• On Poincar\'e-Bendixson Theorem and Non-Trivial Minimal Sets in Planar Nonsmooth Vector Fields (2013, background): “It is already known that the statement of the first theorem is not true (see Example 1 and Figure 4 below) and the statement of the last theorem is true (under suitable conditions, see [14]).”