Cycles of dynamical systems on the plane and Rolle's theorem (Q1068149)
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scientific article; zbMATH DE number 3929166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cycles of dynamical systems on the plane and Rolle's theorem |
scientific article; zbMATH DE number 3929166 |
Statements
Cycles of dynamical systems on the plane and Rolle's theorem (English)
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1984
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In this paper a new class of planar curves, which properly contains a class of algebraic curves, is introduced. They are called P-curves, and are related with polynomial systems of ordinary differential equations. The main result is an extension to P-curves of the classical Bezout theorem.
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planar dynamical systems
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P-curves
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polynomial systems of ordinary differential equations
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Bezout theorem
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