Non-nested configuration of algebraic limit cycles in quadratic systems (Q2496736)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-nested configuration of algebraic limit cycles in quadratic systems |
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Non-nested configuration of algebraic limit cycles in quadratic systems (English)
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20 July 2006
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The paper is devoted to the distribution of algebraic limit cycles of a quadratic system in the plane. The main result of this work is the following one: a quadratic system cannot possess two non-nested algebraic limit cycles contained in different irreducible invariant algebraic curves. The proof is based on Darboux first integral of a special form.
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polynomial differential equations
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Hilbert's 16th problem
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algebraic limit cycle
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quadratic system
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