A Newton scheme for convervatively singular systems (Q1083835)
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scientific article; zbMATH DE number 3978296
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Newton scheme for convervatively singular systems |
scientific article; zbMATH DE number 3978296 |
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A Newton scheme for convervatively singular systems (English)
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1986
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A weakly nonlinear periodic differential equation possessing a first integral is considered. Such a system will have a family of periodic solutions corresponding to a solution curve of the determining equations. The special nature of the determining equations is exploited to construct a Newton iteration scheme converging to the solution curve. The results are illustrated on the example of Hamiltonian systems which contain resonant elliptic behavior.
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weakly nonlinear periodic differential equation
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periodic solutions
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Newton iteration scheme
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Hamiltonian systems
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