Non-existence of limit cycles for a quadratic system in class II (Q1612576)
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scientific article; zbMATH DE number 1788014
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-existence of limit cycles for a quadratic system in class II |
scientific article; zbMATH DE number 1788014 |
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Non-existence of limit cycles for a quadratic system in class II (English)
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25 August 2002
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Here, the author presents proofs for the nonexistence of limit cycles in a part (as large as possible) of the parameter space for a quadratic system in class II of the Ye Yanqian classification, in fact, with the main purpose to squeeze down the region for which a proof is wanted that there exist at most two limit cycles around the origin. A nonexistence proof is given using the criterion by G. S. Rychkov, and the result is compared with some earlier results on this topic.
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quadratic system
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class II of Ye Yanqian
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limit cycle
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nonexistence
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