Necessary conditions for a limit cycle and its basin of attraction. (Q1426417)
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scientific article; zbMATH DE number 2056769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary conditions for a limit cycle and its basin of attraction. |
scientific article; zbMATH DE number 2056769 |
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Necessary conditions for a limit cycle and its basin of attraction. (English)
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14 March 2004
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The author considers a dynamical system given by an autonomous ordinary differential equation. He derives sufficient conditions for the existence of a limit cycle and for a set to belong to its basin of attraction. Moreover, he shows the necessity of these conditions using Floquet theory and a Lypunov function.
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Dynamical system
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Autonomous ordinary differential equation
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Periodic orbit
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Basin of attraction
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0.86252135
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0.8521956
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0.8521172
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0.83763206
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