Small amplitude limit cycles and the distribution of zeros of families of analytic functions (Q5953600)
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scientific article; zbMATH DE number 1695216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small amplitude limit cycles and the distribution of zeros of families of analytic functions |
scientific article; zbMATH DE number 1695216 |
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Small amplitude limit cycles and the distribution of zeros of families of analytic functions (English)
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30 April 2003
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The paper is concerned with the number of limit cycles of a planar polynomial system in a neighborhood of the origin. An estimation is given on their number. The main tool is a distributional inequality for the number of zeros of some families of univariate holomorphic functions depending analytically on a parameter.
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small amplitude limit cycles
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distribution of zeros
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