Limit cycles and center-focus of nonlinear systems (Q1288210)
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scientific article; zbMATH DE number 1286280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles and center-focus of nonlinear systems |
scientific article; zbMATH DE number 1286280 |
Statements
Limit cycles and center-focus of nonlinear systems (English)
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2 November 1999
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Two theorems are obtained for the nonlinear system \[ \dot x= h(y)- F(x),\quad \dot y= -g(x), \] to have \(n\) limit cycles (\(n\), any positive integer) or to have a center-focus (when \(n=+\infty\)), the conditions are too complicated to introduce here.
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nonlinear systems
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generalized Liénard system
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limit cycles
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center-focus
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