Asymptotic Property of Divergent Formal Solutions in Linearization of Singular Vector Fields
Publications of the Research Institute for Mathematical Sciences Volume 47 Issue 4
Page 937-958
published_at 2011-11-13
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| File | |
| Title ( eng ) |
Asymptotic Property of Divergent Formal Solutions in Linearization of Singular Vector Fields
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| Creator | |
| Source Title |
Publications of the Research Institute for Mathematical Sciences
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| Volume | 47 |
| Issue | 4 |
| Start Page | 937 |
| End Page | 958 |
| Abstract |
We study asymptotic properties of divergent formal solutions appearing in the linearization problem of a sigular vector field without a Diophantine condition or an existence of additional first integrals. We will give an asymptotic meaning to divergent formal solutions constructed by a singular perturbative solution (cf. [6]).
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| Keywords |
divergent series
small denominators
asymptotic analysis
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| Descriptions |
This research was partly supported by Grant-in-Aid for Scientific Research (No. 20540172), JSPS, Japan.
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
European Mathematical Society
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| Date of Issued | 2011-11-13 |
| Rights |
(c) 2011 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0034-5318
[ISSN] 1663-4926
[DOI] 10.2977/PRIMS/57
[DOI] https://doi.org/10.2977/PRIMS/57
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