Limit cycle problem of quadratic system of type \((\text{III})_{m=0}\), (III) (Q2501425)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycle problem of quadratic system of type \((\text{III})_{m=0}\), (III) |
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Limit cycle problem of quadratic system of type \((\text{III})_{m=0}\), (III) (English)
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11 September 2006
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The paper is a continuation of previous works of these authors and is devoted to the investigation of limit cycles for type \((\text{III})_{m=0}\) of quadratic systems according to Ye's classification. One of the aims of this paper is to prove that such a system has at most one limit cycle under certain conditions. The uniqueness of a limit cycle is proved by transforming the system into a Liénard system.
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Liénard system
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quadratic system
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separate items limit cycle
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bifurcation
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