Running homoclinic and periodic points in standard-like mappings (Q2774326)
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scientific article; zbMATH DE number 1713581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Running homoclinic and periodic points in standard-like mappings |
scientific article; zbMATH DE number 1713581 |
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28 February 2002
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stable manifold
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unstable manifold
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stability exchange of periodic points
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homoclinic points
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Running homoclinic and periodic points in standard-like mappings (English)
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This paper is devoted to the dynamical properties of standard-like mappings. The authors find the stability exchange of periodic points on the symmetry axes occurs in a sequence until the properties of certain homoclinic points of the stable and unstable manifolds of the main saddle point on the \(x\)-axis are exchanged. In order to investigate this problem, the authors use a simple method exhibiting the phenomena mentioned above.
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0.7407860159873962
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0.7390891909599304
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