Bifurcation of limit cycle for quadratic system with invariant parabola (Q1904984)
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scientific article; zbMATH DE number 834190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcation of limit cycle for quadratic system with invariant parabola |
scientific article; zbMATH DE number 834190 |
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Bifurcation of limit cycle for quadratic system with invariant parabola (English)
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6 February 1996
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In an earlier paper, the authors proved that a planar quadratic system having an invariant parabola \(\Gamma\) has at most one limit cycle. The main purpose of this paper is to clarify the location of the limit cycle for the above-mentioned quadratic system. Necessary and sufficient conditions are given for the existence of the limit cycle on the convex side or the concave side of the parabola \(\Gamma\).
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planar quadratic system
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invariant parabola
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location of the limit cycle
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