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On the local center of an analytic Liénard system - MaRDI portal

On the local center of an analytic Liénard system (Q1348955)

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scientific article; zbMATH DE number 1742823
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English
On the local center of an analytic Liénard system
scientific article; zbMATH DE number 1742823

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    On the local center of an analytic Liénard system (English)
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    21 May 2002
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    The author gives a necessary and sufficient condition for an analytic Liénard system to have a local center at the origin. He proves the condition by using the Poincaré-Lyapunov method. The results obtained in the paper improve an old result of T. Saito, and he illustrates the main result by numerical examples with phase portraits.
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    local center
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    analytic Liénard system
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