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.
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.
出处
《上海师范大学学报（自然科学版）》
2014年第5期476-485,共10页
Journal of Shanghai Normal University(Natural Sciences)
基金
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
