New solutions of the Poincar\'e Center Problem in degree 3
| Autor: | von Bothmer, Hans-Christian |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $\omega$ be a plane autonomous system and C its configuration of algebraic integral curves. If the singularities of C are quasi homogeneous we give new conditions for existence of a Darboux integrating factor or a Darboux first integral. This is used to construct new components of the center variety in degree 3. Comment: 5 figures |
| Databáze: | arXiv |
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