Numerical computation of invariant circles of maps (Q1067675)
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scientific article; zbMATH DE number 3929997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical computation of invariant circles of maps |
scientific article; zbMATH DE number 3929997 |
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Numerical computation of invariant circles of maps (English)
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1985
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A method for the numerical computation of invariant circles of maps is presented, along with appropriate techniques for its implementation. The method involves solution of a functional equation by discretization and Newton iteration. The resulting algorithm is applied to a map of the cylinder and some examples of bifurcations of invariant circles are illustrated. Generalization of the method to the computation of invariant circles in more than two dimensions as well as sections of invariant tori is discussed.
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numerical computation of invariant circles of maps
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discretization and Newton iteration
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