| 局部可积微分系统和它们的正规型 |
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| 作者姓名： | Shiliang Weng Xiang Zhang |
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| 作者单位： | Department of Mathematics,Shanghai Jiao Tong University |
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| 基金项目： | Partially supported by the NNSF of China Grant 11271252，the RFDP of Higher Education of China grant 20110073110054，the FP7-PEOPLE-2012-IRSES-316338 of Europe |
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| 摘 要： | In this paper we first summarize our results published in recent years and their sketch proofs on local integrability,which are on the characterization of local integrability and on the existence of analytic normalization of analytically integrable differential systems. Then we present a new result on the equivalent characterization of the existence of the first integrals of an analytic differential systems near a nonhyperbolic singularity. Finally we pose some open problems on this subject.
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| 关 键 词： | formal diffeomorphism embedding vector field normal form |
| 收稿时间： | 2014/4/17 0:00:00 |
Local integrable differential systems and their normal forms |
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| Shiliang Weng,Xiang Zhang.Local integrable differential systems and their normal forms[J].Journal of Shanghai Normal University(Natural Sciences),2014,43(5):476-485. |
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| Authors: | Shiliang Weng Xiang Zhang |
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| Abstract: | In this paper we first summarize our results published in recent years and their sketch proofs on local integrability,which are on the characterization of local integrability and on the existence of analytic normalization of analytically integrable differential systems. Then we present a new result on the equivalent characterization of the existence of the first integrals of an analytic differential systems near a nonhyperbolic singularity. Finally we pose some open problems on this subject. |
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| Keywords: | formal diffeomorphism embedding vector field normal form |
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