Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere

Author:

Llibre Jaume,Pessoa Claudio

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Andronov A.A., Leontovich E.A., Gordon I.I., Maier A.G.,Qualitative theory of second-order dynamic systems, John Wiley & Sons, 1973.

2. Artés J.C., Grünbaum B., Llibre J.,On the number of invariant straight lines for polynomial differential systems, Pacific J. Math.,184 (1998), 207–230

3. Camacho M.I.,Geometric properties of homogeneous vector fields of degree two in ℝ3, Trans. Amer. Math. Soc.,268 (1981), 79–101.

4. Chavarriga J.,Integrable systems in the plane with a center type linear part, Applicationes Mathematicae,22 (1994), 285–309.

5. Christopher C., Llibre J., Pereira J.V.,Multiplicity of invariant algebraic curves and Darboux integrability, to appear in Pacific J. of Math., 2005.

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