On the nonexistence of the closed orbit for a Liénard system (Q1579867)
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scientific article; zbMATH DE number 1507459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the nonexistence of the closed orbit for a Liénard system |
scientific article; zbMATH DE number 1507459 |
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On the nonexistence of the closed orbit for a Liénard system (English)
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26 November 2002
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Consider the Liénard system \((*)\) \( dx/dt = y\), \(dy/dt = -(\varepsilon_2 x+\varepsilon_1)y+x^2+x\). Transforming this system into the Takens-Bogdanov normal form, the author determines regions in the \(\varepsilon_1\), \(\varepsilon_2\)-parameter plane such that \((*)\) has no nontrivial periodic solution.
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nonexistence
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closed orbit
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Liénard system
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