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线性微分系统指数型三分性的粗糙度估计
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作者 洪佳林 许凤 《工程数学学报》 CSCD 1993年第4期55-60,共6页
本文讨论了指数型三分性的粗糙度,得到主要结果如下: 设A(t)是R上连续有界的n阶方阵函数,如果微分系统(dx)/(dt)=A(t)x在R上具有指数型三分性,其常数为K≥1,α>0,投影为P_+、P_-,则对于任何满足‖B(t)‖<(α/(2K))的连续有界n阶... 本文讨论了指数型三分性的粗糙度,得到主要结果如下: 设A(t)是R上连续有界的n阶方阵函数,如果微分系统(dx)/(dt)=A(t)x在R上具有指数型三分性,其常数为K≥1,α>0,投影为P_+、P_-,则对于任何满足‖B(t)‖<(α/(2K))的连续有界n阶方阵函数B(t),摄动系统(dx)/(dt)=[A(t)+B(t)]x在R上具有投影为P_+(B)和P_-(B)的指数型三分性,并且 秩(P_+(B))=秩(P_+),秩(P_(B))=秩(P_-)。 展开更多
关键词 指数 粗糙度 系统 线系统
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法向非双曲不变流形的不变环面分支
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作者 覃思义 朱德明 《高校应用数学学报(A辑)》 CSCD 北大核心 1998年第4期371-380,共10页
本文考虑多参数系统x=f(x,α)+εg(x,t,μ,ε).当α=0,ε=0时,未扰动系统有一个由周期轨道构成的不变流形W.应用指数三分性和精化的Floguet理论在W的邻域内建立局部坐标,将关于一个小参数的平均法推... 本文考虑多参数系统x=f(x,α)+εg(x,t,μ,ε).当α=0,ε=0时,未扰动系统有一个由周期轨道构成的不变流形W.应用指数三分性和精化的Floguet理论在W的邻域内建立局部坐标,将关于一个小参数的平均法推广到同时对两个小参数的平均法,并应用环域定理和Fenichel广义法向双曲-溢出不变流形定理得到当W的法向发生超临界分支时,系统产生不变环面的条件. 展开更多
关键词 不变流形 指数三分性 不变环面 超临界
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具有指数型三分性差分方程的反周期解 被引量:1
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作者 孟鑫 《南开大学学报(自然科学版)》 CAS CSCD 北大核心 2019年第1期76-81,共6页
研究了一类具有指数型三分性非线性差分方程的反周期解.首先指出若齐次线性方程具有指数型三分性,则对应非齐次线性方程存在反周期解.然后借助这个结论并应用Banach不动点定理,给出了非线性差分方程反周期解的存在唯一性条件.最后通过... 研究了一类具有指数型三分性非线性差分方程的反周期解.首先指出若齐次线性方程具有指数型三分性,则对应非齐次线性方程存在反周期解.然后借助这个结论并应用Banach不动点定理,给出了非线性差分方程反周期解的存在唯一性条件.最后通过例子说明了该结论在实际问题中的应用. 展开更多
关键词 指数 反周期解 BANACH不动点定理
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伴随鞍结点分支的非通有异宿轨道的存在性 被引量:1
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作者 朱德明 《中国科学(A辑)》 CSCD 1994年第9期911-916,共6页
通过发展指数三分性理论和建立主法向坐标,对伴随鞍结点分支的非通有异宿轨道的保存条件导出了相应的分支方程和分支图,并给出了具体的例子。
关键词 鞍结点 异宿轨道 指数三分性
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3D-QSAR and action mechanism of potential dual inhibitors towards AP-1 and NF-κB
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作者 QIAN Li LIAO Si-yan MIAO Ti-fang SHEN Yong ZHENG Kang-cheng 《Journal of Chemistry and Chemical Engineering》 2009年第1期1-12,共12页
Three-dimensional quantitative structure-activity relationship (3D-QSAR) and docking studies of a series of novel dioxopyrrolinyl-amino-pyrimidine derivatives, which are potential dual inhibitors mediating a transcr... Three-dimensional quantitative structure-activity relationship (3D-QSAR) and docking studies of a series of novel dioxopyrrolinyl-amino-pyrimidine derivatives, which are potential dual inhibitors mediating a transcriptional activation towards protein-1 (AP-1) and nuclear factor kappa B (NF-κB), have been carried out. The QS, AR models established by comparative molecular field analysis (CoMFA) and comparative molecular similarity index analysis (CoMSIA) show a good predictive ability with cross-validated coefficients q2 of 0.644 and 0.636, respectively. The docking result shows that there are quite lower average values of the flexible and rigid energy scores on the selected binding sites, meanwhile, it further shows that the binding sites just fall on the joint regions between AP-1 (and NF-κB) and DNA. The reason that these analogues have inhibition function towards AP-I and NF-κB is that their existence on these joint regions can effectively prevent free AP-I and NF-κB from binding to DNA. These results can offer a valuable theoretical reference to the pharmaceutical molecular design as well as the action mechanism analysis. 展开更多
关键词 pyrimidine derivative 3D-QSAR docking analysis activator protein-1 nuclear factor kappa B
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3D-QSAR and docking studies on 2-arylbenzoxazole and linker-Y transthyretin amyloidogenesis inhibitors
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作者 ZHAO LiJun ZHANG LiangRen LEI Ming 《Science China Chemistry》 SCIE EI CAS 2013年第11期1550-1563,共14页
Transthyretin(TTR),a plasma protein with a tetramer structure,could form amyloid fibril associated with several human diseases through the dissociation of tetramer and the misfolding of monomer.These amyloidogenesis c... Transthyretin(TTR),a plasma protein with a tetramer structure,could form amyloid fibril associated with several human diseases through the dissociation of tetramer and the misfolding of monomer.These amyloidogenesis can be inhibited by small molecules which bind to the central channel of TTR.A number of small molecules like 2-arylbenzoxazoles(ABZ)analogues are proposed as promising therapeutic strategy to treat amyloidosis.In this work,comparative molecular field analysis(CoMFA)and comparative molecular similarity indices analysis(CoMSIA)three-dimensional quantitative structure-activity relationship(3D-QSAR)and docking studies were performed on series of 2-arylbenzoxazoles(ABZ)and linker-Y analogues to investigate the inhibitory activities of TTR amyloidogenesis at atomic level.Significant correlation coefficients for ABZ series(CoMFA,r2=0.877,q2=0.431;CoMSIA,r2=0.836,q2=0.447)and those for linker-Y series(CoMFA,r2=0.828,q2=0.522;CoMSIA,r2=0.800,q2=0.493)were obtained,and the generated models were validated using test sets.In addition,docking studies on 6 compounds binding to TTR were performed to analyze the forward or reverse binding mode and interactions between molecules and TTR.These results from 3D-QSAR and docking studies have great significance for designing novel TTR amyloidogenesis inhibitors in the future. 展开更多
关键词 TRANSTHYRETIN 3D-QSAR 2-arylbenzoxazoles linker-Y DOCKING binding mode
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