Plane polynomial vector fields with prescribed invariant curves

By Sebastian Walcher. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000

51 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/76f839ccd4879a1cf2ba1f39ded7373e2066d3b2

How researchers see this paper

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

In Control and Systems Engineering

1. Colin Christopher
2. J. Pereira
3. Maite Grau
4. Jaume Llibre
5. Isaac A. García

In Geometry and Topology

1. Maite Grau
2. Isaac A. García
3. Jaume Llibre
4. Colin Christopher
5. J. Pereira
6. Xiang Zhang
7. Douglas Duarte Novaes
8. Maoan Han

In Statistical and Nonlinear Physics

1. Maite Grau
2. Isaac A. García
3. Jaume Llibre
4. Colin Christopher
5. J. Pereira
6. Xiang Zhang
7. Maoan Han
8. Douglas Duarte Novaes

Citations in the corpus

• Multiplicity of invariant algebraic curves in polynomial vector fields (2007, result): “The results given in this section generalize the results in [6] and bear similarities with the work of Walcher for vector fields with one invariant curve [23].”
• A Survey on the Inverse Integrating Factor (2009, background): “The structure of polynomial inverse integrating factors is also studied by Walcher in [105, 106].”