A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals (Q2782632)
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scientific article; zbMATH DE number 1725325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals |
scientific article; zbMATH DE number 1725325 |
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A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals (English)
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8 April 2002
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quadratic system
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rational first integral
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invariant algebraic curve
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The authors present a class of quadratic systems having irreducible algebraic solutions of arbitrarily high degree but without rational first integrals. The construction gives a negative answer to a conjecture of Lins Neto and others.
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