On Step-Like Contrast Structure of Singularly Perturbed Systems
<p/> <p>The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system. In the framework of this paper, we not only give the conditions...
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| Format: | Article |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2009/634324 |
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doaj-93a3040f995e496987ed638f6ab15dca2020-11-24T23:22:44ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091634324On Step-Like Contrast Structure of Singularly Perturbed SystemsNi MingkangWang Zhiming<p/> <p>The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system. In the framework of this paper, we not only give the conditions under which there exists an internal transition layer but also determine where an internal transition time is. Meanwhile, the uniformly valid asymptotic expansion of a solution with a step-like contrast structure is presented.</p>http://www.boundaryvalueproblems.com/content/2009/634324 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ni Mingkang Wang Zhiming |
| spellingShingle |
Ni Mingkang Wang Zhiming On Step-Like Contrast Structure of Singularly Perturbed Systems Boundary Value Problems |
| author_facet |
Ni Mingkang Wang Zhiming |
| author_sort |
Ni Mingkang |
| title |
On Step-Like Contrast Structure of Singularly Perturbed Systems |
| title_short |
On Step-Like Contrast Structure of Singularly Perturbed Systems |
| title_full |
On Step-Like Contrast Structure of Singularly Perturbed Systems |
| title_fullStr |
On Step-Like Contrast Structure of Singularly Perturbed Systems |
| title_full_unstemmed |
On Step-Like Contrast Structure of Singularly Perturbed Systems |
| title_sort |
on step-like contrast structure of singularly perturbed systems |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2009-01-01 |
| description |
<p/> <p>The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system. In the framework of this paper, we not only give the conditions under which there exists an internal transition layer but also determine where an internal transition time is. Meanwhile, the uniformly valid asymptotic expansion of a solution with a step-like contrast structure is presented.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2009/634324 |
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AT nimingkang onsteplikecontraststructureofsingularlyperturbedsystems AT wangzhiming onsteplikecontraststructureofsingularlyperturbedsystems |
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1725566681588170752 |