Keeping track of limit cycles (Q1081740)
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scientific article; zbMATH DE number 3971212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Keeping track of limit cycles |
scientific article; zbMATH DE number 3971212 |
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Keeping track of limit cycles (English)
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1986
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We give a solution to Hilbert's 16th problem when an a priori bound on the period is imposed. Also, we give an upper bound on the arclength which generalizes a previous convexity statement for quadratic vector fields. We use a theorem on subanalytic sets and methods of differential analysis.
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Hilbert's 16th problem
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quadratic vector fields
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subanalytic sets
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