Almost and pseudo-almost limit cycles for some forced Liénard systems (Q838077)
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scientific article; zbMATH DE number 5597868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost and pseudo-almost limit cycles for some forced Liénard systems |
scientific article; zbMATH DE number 5597868 |
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Almost and pseudo-almost limit cycles for some forced Liénard systems (English)
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21 August 2009
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The new concepts of almost and pseudo-almost limit cycles are introduced. The author investigates the conditions of existence, uniqueness and stability of a such limit cycles for a one-parameter family of forced Liénard equations \[ \ddot{x}(t)+f(x)\dot{x}(t)+g(x)=\mu h(t), \] where \(f,\) \(g\) and \(h\) are continuous functions on \(\mathbb{R}\), and \(\mu\) is a small real parameter.
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Almost periodicity
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pseudo-almost periodicity
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Liénard equation
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limit cycle
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0.8303176164627075
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0.8107259273529053
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0.810267984867096
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