Generic Complex Polynomial Vector Fields with Real Coefficients
| Autor: | Godin, Jonathan, Rousseau, Christiane |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | The paper studies the complex 1-dimensional polynomial vector fields with real coefficients under topological orbital equivalence preserving the separatrices of the pole at infinity. The number of generic strata is determined, and a complete parametrization of these strata is given in terms of a modulus formed by a combinatorial and an analytic part. The bifurcation diagram is described for the degree 4. A realization theorem is proved for any generic modulus. Comment: 24 pages, 9 figures |
| Databáze: | arXiv |
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