Geometry of polynomial ordinary differential equations (Q737198)
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scientific article; zbMATH DE number 6610120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of polynomial ordinary differential equations |
scientific article; zbMATH DE number 6610120 |
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Geometry of polynomial ordinary differential equations (English)
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9 August 2016
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Summary: Algebraic varieties defined by polynomial equations over real or complex numbers admit explicit upper bounds for their topological complexity (Betti numbers etc.). These bounds depend on the dimension and the degrees of the equations. In this survey we identify a few cases where similar bounds can be established if the polynomials are replaced by solutions of differential equations (ordinary or Pfaffian) with polynomial right hand sides.
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