Multiplicity of invariant algebraic curves in polynomial vector fields

By Colin Christopher, Jaume Llibre, J. Pereira. 2007

256 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d89d66bec31bc3d024c789141c07efc622430a09

How researchers see this paper

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

In Computational Theory and Mathematics

1. Xiang Zhang
2. Jaume Llibre
3. Nicolae Vulpe
4. Dana Schlomiuk
5. Maite Grau
6. Isaac A. García
7. Cláudia Valls

In Geometry and Topology

1. Xiang Zhang
2. Nicolae Vulpe
3. Dana Schlomiuk
4. Maite Grau
5. Jaume Llibre
6. Isaac A. García
7. Douglas Duarte Novaes
8. Maoan Han

In Statistical and Nonlinear Physics

1. Xiang Zhang
2. Jaume Llibre
3. Maite Grau
4. Isaac A. García
5. Nicolae Vulpe
6. Dana Schlomiuk
7. Maoan Han
8. Douglas Duarte Novaes

Citations in the corpus

• A Survey on the Inverse Integrating Factor (2009, background): “A complete work on this subject can be found in [34].”
• On the Darboux Integrability of Polynomial Differential Systems (2012, methodology): “e n = 2) follows from [11] and for n > 2 it is proved in [28].”
• Global classification of the planar Lotka–Volterra differential systems according to their configurations of invariant straight lines (2010, background): “This notion is the restriction to the quadratic class of the notion of strong geometric multiplicity used in [26].”