Limit cycles and invariant curves in a class of switching systems with degree four (Q1755695)
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scientific article; zbMATH DE number 7000100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles and invariant curves in a class of switching systems with degree four |
scientific article; zbMATH DE number 7000100 |
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Limit cycles and invariant curves in a class of switching systems with degree four (English)
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11 January 2019
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Consider a special planar polynomial system of degree four having \(y=0\) as a line of discontinuity and the conic \(x^2+ cy^2=1\), \(c\in\mathbb{R}\), as an invariant curve. The authors study the bifurcation of limit cycles from the origin with \(c\) as bifurcation parameter under the condition that the first eight Lyapunov constants vanish.
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