Existence of limit cycles for Liénard-type systems with \(p\)-Laplacian (Q2471307)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of limit cycles for Liénard-type systems with \(p\)-Laplacian |
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Existence of limit cycles for Liénard-type systems with \(p\)-Laplacian (English)
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22 February 2008
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This paper studies sufficient conditions under which an equivalent system to the equation \[ \dot{(\phi_p(\dot{x}))} + f(x) \phi_p(\dot{x}) + g(x) = 0 \] has at least one stable limit cycle. The main results are proven by means of phase plane analysis with the Poincaré-Bendixson theorem. Sufficient conditions are also given for the origin to be unstable and for all solutions to be bounded in the future.
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limit cycle
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\(p\)-Laplacian
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Liénard system
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