A multiple shooting method for determining periodic windows of one- dimensional maps (Q1824373)
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scientific article; zbMATH DE number 4117804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multiple shooting method for determining periodic windows of one- dimensional maps |
scientific article; zbMATH DE number 4117804 |
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A multiple shooting method for determining periodic windows of one- dimensional maps (English)
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1989
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The author presents a new method for finding numerically exact period- doubling and tangent bifurcation points for one-dimensional maps. The method couples Kaplan's iterative procedure with Newton's formula and uses multiple shooting technique. Numerical experiences show that the new method is better than the simple shooting technique used by the author before (cf. Phys. Lett. 110A, 116 (1985)].)
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periodic window
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Newton's method
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superstable periodic orbit
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period- doubling and tangent bifurcation points
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multiple shooting
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0.7674754858016968
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