Rotation numbers and Lyapunov stability of elliptic periodic solutions (Q939276)
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scientific article; zbMATH DE number 5315191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rotation numbers and Lyapunov stability of elliptic periodic solutions |
scientific article; zbMATH DE number 5315191 |
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Rotation numbers and Lyapunov stability of elliptic periodic solutions (English)
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22 August 2008
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The stability of elliptic-type periodic solutions is investigated for the Hill (sometimes also called Jacobi) equations. Lower bounds of related rotation numbers are established on the basis of earlier results of the second author. Twist periodic solutions are proved for two different classes of Newtonian equations, one being regular and another singular.
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Hill's equation
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Ermakov-Pinney equation
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elliptic periodic solutions
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stability results
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rotation numbers
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twist solutions
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