Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary (Q2077883)
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scientific article; zbMATH DE number 7479455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary |
scientific article; zbMATH DE number 7479455 |
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Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary (English)
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22 February 2022
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This paper deals with limit cycles for a piecewise polynomial system with a non-regular switching boundary, i.e., a switching boundary separating the plane into two angular sectors with two angles, via the averaging theory up to any order. Up to the first two orders, an upper bound of limit cycles is obtained and is proved to be reachable and greater than the case of straight switching line.
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averaging method
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Hilbert's 16th problem
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limit cycles
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discontinuous piecewise polynomial systems
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Liénard systems
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