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AUTOMRPPHISM GROUP OF LIE ALGEBRA C(t)d/dt

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Journal of systems science & Complexity 2003年第2期16卷 209-212页

作者： DU HONG(Institute of systems science, academy of mathematics and systems science, chinese academy ofsciences, beijing 100080, china) Institute of systems science Academy of Mathematics and Systems Science Chinese Academy of Sciences 北京 100080

The Lie algebra of derivations of rational function field C(t) is C(t) dt/*** automorphism group of C(t) is well known as to be isomorphic to the projective linear groupPGL(2, C). In this short note we prove that ever... 详细信息

关键词： lie algebra automorphism

THE EXISTENCE OF ORBITS CONNECTING CRITICAL POINTS OF DIFFERENTIAL EQUATIONS DEPENDING ON A PARAMETER

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Journal of systems science & Complexity 2006年第1期19卷 72-75页

作者： Shuxiang YU Institute of mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China

Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter ar... 详细信息

关键词： Connecting orbit isolated invariant set isolating blocks.

Some Notes on Reaction Diffusion systems with Nonlinear Boundary Conditions

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Acta Mathematicae Applicatae Sinica 2003年第1期19卷 143-156页

作者： Wen-jun Sunacademy of mathematics and system sciences, CAS, beijing 100080, china academy of mathematics and system sciences CAS Beijing China

Abstract This paper deals with the existence and nonexistence of global positive solution to a semilinear reaction-diffusion system with nonlinear boundary conditions. For the heat diffusion case, the necessary and sufficient conditions on the global existence of all positive solutions are obtained. For the general fast diffusion case, we get some conditions on the global existence and nonexistence of positive solutions. The results of this paper fill the same gaps which were left in this field.

关键词： Keywords Reaction-diffusion fast diffusion global existence blow-up

Recent advances in the data analysis method of functional magnetic resonance imaging and its applications in neuroimaging

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Progress in Natural science:Materials International 2006年第8期16卷 785-795页

作者： TIAN Jie, YANG Lei and HU Jin (Institute of Automation, chinese academy of sciences, beijing 100080, china Graduate School of chinese academy of sciences, beijing 100039, china) Institute of Automation Chinese Academy of Sciences Beijing 100080 China Graduate School of chinese academy of sciences Beijing 100039 China

Functional magnetic resonance imaging (fMRI) has opened a new area to explore the human brain. The fMRI can reveal the deep insights of spatial and temporal changes underlying a broad range of brain function, such as motor, vision, memory and emotion, all of which are helpful in the clinical investigation. In this paper, we introduce some recent-developed algorithms for fMRI signal detection such as model-driven method (general linear model, deconvolution model, non-linear model, etc. ) and data-driven method (principle component analysis, independent component analysis, self-organization mapping, clustered constrained non-negative matrix factorization, etc. ). We also propose several important applications of neuroimaging and point out their shortcomings and future perspectives.

关键词： fMR1 data analysis neuroimaging.

SYNTHESIS AND CHARACTERIZATION OF SILAZANE OLIGOMER CONTAINING 1,1,3,3,5,5-HEXAMETHYLCYCLOTRISILAZANE

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chinese Journal of Polymer science 2000年第5期18卷 449-452页

作者： Cai-hong Xu Ning Zhou Ze-min Xie Center for Molecular science, Institute of Chemistry, chinese academy of sciences, beijing 100080, china 中科院化学所北京

A new silazane oligomer containing cyclotrisilazane was synthesized by KH-catalyzed dehydro-coupling reactions between diphenylsilane and 1,1,3,3,5,5-hexamethylcyclotrisilazane (D-3(N)).

关键词： silazane oligomer diphenylsilane cyclotrisilazane dehydro-coupling reaction

EXPLORATION OF TCM MASTERS KNOWLEDGE MINING

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Journal of systems science & Complexity 2008年第1期21卷 34-45页

作者： Xijin TANG Nan ZHANG Zheng WANG Institute of systems science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China.

Traditional chinese medicine （TCM） has a rich knowledge about human health and disease by its special way evolved along a very long history. As modern medicine is achieving much progress, arguments and disputes toward TCM never end. To avoid losing precious knowledge of living TCM masters, endeavors have been engaged to systematic collection of those knowledge of TCM masters, such as their growth experiences, effective practical cases toward diseases and typical therapeutic principles and methods. Knowledge mining methods have been expected to explore some useful or hidden patterns to unveil some mysteries of the TCM system. In the paper, some computerized methods are applied toward those collected materials about some living TCM masters in china mainland to show a different way of exposing essential ideas of those TCM masters by correspondence visualization which aims to help people understand TCM holistic views toward disease and body, and facilitate tacit knowledge transfer and sense-making of the essence of TCM. The work is one kind of qualitative meta-synthesis of TCM masters＇ knowledge.

关键词： Idea map knowledge mining qualitative meta-synthesis traditional chinese medicine.

STUDY ON THE SYNTHESIS AND PROPERTIES OF POLY(ESTER-IMIDEETHER)MULTIBLOCK COPOLYMERS

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chinese Journal of Polymer science 2000年第1期18卷 9-13页

作者： Zu-yao Shan Zhen-yi Li Institute of Chemistry, chinese academy of sciences, beijing 100080, china 中科院化学所北京

A new class of poly(ester-imide-ether) multiblock copolymers was synthesized by transes-terification and melt copolymerization of dimethyl terephthalate (DMT) and N-(4-carbomethoxyphenyl)-4-(carbomethoxy)-phthalimide with ethylene glycol (EG) and polytetramethylene glycol (PTMG). The structure of the above copolymers was characterized by H-1-NMR and IR spectroscopy. Some properties of the coplymers were also examined. It was found that their mechanical properties and heat stability, compared with poly(ether-ester) copolymers, were obviously improved.

关键词： N-(4-carbomethoxyphenyl)-4-(carbomethoxy)-phthalimide polyester-polyether copolymer poly-(ester-imidether) multiblock copolymer imide modification

Boundedness of solutions and existence of invariant tori for generalized pendulum type equation

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chinese science Bulletin 1997年第20期42卷 1673-1675页

作者： HUANG Hai and YUAN Rong1. Institute of mathematics, chinese academy of sciences, beijing 100080, china 2. Department of mathematics, beijing Normal University, beijing 100875, china Institute of mathematics Chinese Academy of Sciences Beijing China Department of mathematics Beijing Normal University Beijing China

MOTIVATED by various significant applications to non-Newtonian fluid theory, diffusion offlows in porous media, nonlinear elasticity, and theory of capillary surfaces, several authors(see refs.[1,2] and references cited therein ) have recently studied the existence of periodicsolutions and other properties for the following differential equation:

关键词： boundeduess of solutions invariant tori quasiperlodic solutions Moser’s small twist theorem.

Scheme construction with numerical flux residual correction (NFRC) and group velocity control (GVC)

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Progress in Natural science:Materials International 2006年第12期16卷 1252-1259页

作者： MA Yanwen **and FU Dexun(LNM, Institute of Mechanics, chinese academy of sciences, beijing 100080, china) LNM Institute of Mechanics Chinese Academy of Sciences Beijing 100080 China

For simulating multi-scale complex flow fields like turbulent flows, the high order accurate schemes are preferred. In this paper, a scheme construction with numerical flux residual correction (NFRC) is presented. Any order accurate difference approximation can be obtained with the NFRC. To improve the resolution of the shock, the constructed schemes are modified with group velocity control (GVC) and weighted group velocity control (WGVC). The method of scheme construction is simple, and it is used to solve practical problems.

关键词： high order accurate scheme group velocity control high resolution of the shock.