| 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. |
| 关键词: formal diffeomorphism embedding vector field normal form |
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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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| Local integrable differential systems and their normal forms |
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