Cycles of dynamical systems on the plane and Rolle's theorem (Q1068149)

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scientific article; zbMATH DE number 3929166
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English
Cycles of dynamical systems on the plane and Rolle's theorem
scientific article; zbMATH DE number 3929166

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    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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