In this paper we first survey the results on the embedding flow problem of dif-feomorphisms in higher dimensional spaces. Next we present some new results on the characterization of semi-unipotent diffeomorphisms in R...In this paper we first survey the results on the embedding flow problem of dif-feomorphisms in higher dimensional spaces. Next we present some new results on the characterization of semi-unipotent diffeomorphisms in R3, which have a formal embedding flows.展开更多
不同的负荷节点对电压稳定性具有不同的影响程度。应用向量场正规形理论,分析电力系统潮流方程。提出以节点电压非线性参与因子作为依据,衡量负荷节点对电压稳定性的影响程度。所提出的方法可计及电力系统非线性特性对电压稳定性的影响...不同的负荷节点对电压稳定性具有不同的影响程度。应用向量场正规形理论,分析电力系统潮流方程。提出以节点电压非线性参与因子作为依据,衡量负荷节点对电压稳定性的影响程度。所提出的方法可计及电力系统非线性特性对电压稳定性的影响,与线性化分析方法相比,该方法在系统具有强非线性特性的条件下,仍能准确识别负荷节点的重要程度。将所提出的方法用于New England 39节点系统,研究系统中负荷节点对电压稳定性的影响,通过对系统电压稳定性指标的比较,验证所提出方法的有效性。展开更多
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 normaliza...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.展开更多
基金supported by NNSF of China grant 11271252by RFDP of Higher Education of China grant 20110073110054by FP7-PEOPLE-2012-IRSES-316338 of Europe
文摘In this paper we first survey the results on the embedding flow problem of dif-feomorphisms in higher dimensional spaces. Next we present some new results on the characterization of semi-unipotent diffeomorphisms in R3, which have a formal embedding flows.
文摘不同的负荷节点对电压稳定性具有不同的影响程度。应用向量场正规形理论,分析电力系统潮流方程。提出以节点电压非线性参与因子作为依据,衡量负荷节点对电压稳定性的影响程度。所提出的方法可计及电力系统非线性特性对电压稳定性的影响,与线性化分析方法相比,该方法在系统具有强非线性特性的条件下,仍能准确识别负荷节点的重要程度。将所提出的方法用于New England 39节点系统,研究系统中负荷节点对电压稳定性的影响,通过对系统电压稳定性指标的比较,验证所提出方法的有效性。
基金supported by the NNSF of China Grant 11271252the RFDP of Higher Education of China grant 20110073110054the FP7-PEOPLE-2012-IRSES-316338 of Europe
文摘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.
