| Title:
|
Orbits connecting singular points in the plane (English) |
| Author:
|
Ding, Changming |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
125-132 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed. (English) |
| Keyword:
|
connecting orbit |
| Keyword:
|
homoclinic orbit |
| Keyword:
|
positively bounded system |
| MSC:
|
34C11 |
| MSC:
|
34C35 |
| MSC:
|
34C37 |
| MSC:
|
37C29 |
| idZBL:
|
Zbl 1081.37002 |
| idMR:
|
MR2121660 |
| . |
| Date available:
|
2009-09-24T11:21:23Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127963 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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