Planar nonautonomous polynomial equations II. Coinciding sectors (Q1014724)
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scientific article; zbMATH DE number 5549453
| Language | Label | Description | Also known as |
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| English | Planar nonautonomous polynomial equations II. Coinciding sectors |
scientific article; zbMATH DE number 5549453 |
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Planar nonautonomous polynomial equations II. Coinciding sectors (English)
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29 April 2009
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The paper presents some sufficient conditions for the existence of periodic solutions and heteroclinic connections of the equation \[ \dot z=\sum_{j=0}^na_j(t)z^j \] on the complex plane, where \(a_j\) are \(T\)-periodic continuous functions. It is a continuation of the previous research of the author published in the paper: ``Planar nonautonomous polynomial equations: the Riccati equation'' [J. Differ. Equations 244, No.~6, 1304--1328 (2008; Zbl 1147.34035)].
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periodic solution
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isolating segment
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asymptotic stability
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