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p-th moment exponential stability of stochastic differential equations with impulse effect

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Science china(Information Sciences) 2011年第8期54卷 1702-1711页

作者： SHEN LiJuan 1,2.& SUN JiTao 11 department of mathematics, Tongji {2.,Shanghai 2.0092.china 2.department of mathematics,Luoyang Normal {2., Luoyang 47102.,china department of mathematics Tongji University Shanghai China department of mathematics Luoyang Normal University Luoyang China

The p-th moment exponential stability of stochastic differential equations with impulse effect is *** employing the method of vector Lyapunov functions,some sufficient conditions for the p-th moment exponential stability are *** addition,the usual restriction of the growth rate of Lyapunov function is replaced by the condition of the drift and diffusion coefficients to study the p-th moment exponential *** examples are also discussed to illustrate the effectiremess of the results obtained.

关键词： stochastic differential equations impulse p-th moment exponential stability vector Lyapunov functions

Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc

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Science china mathematics 2010年第4期53卷 1017-1024页

作者： LIU Yang 1,& CHEN ZhiHua 2.1 department of mathematics,Zhejiang Normal {2.,Jinhua 32.004,china 2.department of mathematics,Tongji {2.,Shanghai 2.0092.china department of mathematics Zhejiang Normal University Jinhua China department of mathematics Tongji University Shanghai China

We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic fun... 详细信息

关键词： Schwarz-Pick estimate holomorphic function Taylor expansion

Analysis on cohesive crack opening displacement considering the strain softening effect

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Science china(Physics,Mechanics & Astronomy) 2006年第1期49卷 88-101页

作者： WANG Limin1, XU Shilang2.& ZHAO Xiqiang3 1. Mechanics department, Shandong university of Technology, Zibo 2.5049,{2. 2. Civil Engineering department, Dalian university of Technology, Dalian 11602.,{2. 3. mathematics department, Ocean university of{2., Qingdao 2.6071,{2. Mechanics department Shandong University of Technology Zibo China Civil Engineering department Dalian University of Technology Dalian China mathematics department Ocean University of China Qingdao China

In order to investigate the crack propagation in quasi-brittle materials like rock, ceramic and concrete, Hillerborg and his co-researchers abstracted the fracture process zone in front of a stress free crack in terms of a “fictitious crack zone”. On the fictitious crack zone, cohesive stresses distribute following a given softening relationship of stress vs. crack opening. Based on the polynomial or power series expression of cohesive crack opening displacement, the relationship of the cohesive stress vs. the crack opening displacement is established using elastic theory and integral equation, and some unknown physics variables are obtained using variation approach. The calculation results gained in this paper are close to the experimentally test ones.

关键词： cohesive crack, softening, dissipation work, variation approach.

A possible mode of the specific recognition of nucleic acids by proteins

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Chinese Science Bulletin 2001年第11期46卷 930-934页

作者： LI Xuqing & LIU Ciquandepartment of Computer Science, kunming {2. of Science and Technology, kunming 650041, china Laboratory of Cellular and Molecular Evolution, kunming Institute of Zoology, Chinese Academy of Sciences, kunming 6502.3, china yunnan Observatory, Chinese Academy of Sciences, kunming 650011, china 4. Modern Biological Center, yunnan university,{12., china department of Computer Science Kunming University of Science and Technology Kunming China yunnan Observatory Chinese Academy of Sciences Kunming China Laboratory of Cellular and Molecular Evolution Kunming Institute of Zoology Chinese Academy of Sciences Kunming China Modern Biological Center Yunnan University Kunming China

Seven sets of protein target sites, which occur in several gene promoters, have been analyzed. The results suggest that there is a possible mode of specific recognition of double-helical nucleic acids by proteins. This recognition mode is related to a special topological property of double-helical DNA, which is termed base spatial pattern (BSP) of DNA segment. BSP is the spatial topological property determined only by the spatial arrangement of the bases on double-helical DNA segment.

关键词： protein nucleic acids recognition base spatial pattern (BSP) target sites.

The realization and structure of complete Lie algebras whose nilpotent radicals are Heisenberg algebras

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Chinese Science Bulletin 1998年第5期43卷 383-385页

作者： JIANG Cuibo 1 and MENG Daoji 2.1.department of mathematics,Yantai Teachers {2., Yantai 2.402., china 2.department of mathematics,Nankai {2.,Tianjin 300071, china. department of mathematics Yantai Teachers University Yantai China department of mathematics Nankai University Tianjin China

The realization and structure of complete Lie algebras whose nilpotent radicals are Heisenberg algebras over the complex field C are given.

关键词： complete Lie algebra Heisenberg algebra nilpotent radical.

Attractors for the Ginzburg-Landau-BBME quations in an Unbounded Domain

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Communications in Nonlinear Science and Numerical Simulation 1998年第2期 26-30页

作者： Boling GUO * and Murong JIANG , * (Institute of Applied Physics and Computational mathematics, Beijing, 100088, china) ({2. of mathematics, yunnan university, kunming 650091) (Graduate School of china Ac

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅｉｎｔｅｎｄｔｏｓｔｕｄｙｔｈｅｅｘｉｓｔｅｎｃｅｏｆｔｈｅｇｌｏｂａｌａｔｒａｃｔｏｒｆｏｒｔｈｅｆｏｌｏｗｉｎｇｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｏｆＧｉｎ... 详细信息

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｐａｐｅｒ，ｗｅｉｎｔｅｎｄｔｏｓｔｕｄｙｔｈｅｅｘｉｓｔｅｎｃｅｏｆｔｈｅｇｌｏｂａｌａｔｒａｃｔｏｒｆｏｒｔｈｅｆｏｌｏｗｉｎｇｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｏｆＧｉｎｚｂｕｒｇＬａｎｄａｕｅｑｕａｔ...

关键词： unbounded domain attractor Ginzburg Landau coupled with BBM equation

North Pacific sea ice cover, a predictor for the Western North Pacific typhoon frequency?

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Science china Earth Sciences 2007年第8期50卷 1251-1257页

作者： FAN Ke Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 10002., china department of Atmospheric Science, Yun-nan {2., kunming 650091, china Institute of Atmospheric Physics Chinese Academy of Sciences Beijing China department of Atmospheric Science Yunnan University Kunming China

The relationship between the sea ice cover in the North Pacific and the typhoon frequency has been studied in this paper. It follows that the index for the sea ice cover in the North Pacific (ISA) both in December-January-February (DJF) and in March-April-May (MAM) is negatively correlated with annual typhoon number over the western North Pacific (TNWNP) during 1965―2.04, with correlation coeffi-cients of -0.42.and -0.49 respectively (above 99% significant level). Large sea ice cover in the North Pacific tends to decrease TNWNP. Positive ISA (MAM) is associated with the tropical circulation and SST anomalies in the North Pacific, which may lead to unfavorable dynamic and thermal conditions for typhoon genesis over WNP from June to October (JJASO). The variability of the atmospheric circula-tion over the North Pacific, associated with the ISA anomaly in MAM is connected to the tropical at-mospheric circulation variability in MAM via the teleconnection wave train. Besides, as the tropical circulation has strong seasonal persistency from the MAM to JJASO, thus, the ISA in MAM-related variability of the tropical atmospheric circulation as well as the SST can affect the typhoon activity over the western North Pacific.

关键词： typhoon sea ice cover North Pacific teleconnection

The mechanism of breakdown in laminar-turbulent transition of a supersonic boundary layer on a flat plate-temporal mode

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Science china(Physics,Mechanics & Astronomy) 2005年第5期48卷 614-625页

作者： HUANG Zhangfeng 1, CAO Wei 1,2.& ZHOU Heng 1,2.1. department of Mechanics, Tianjin university, Tianjin 300072.{2. 2. Liu-Hui Center of Applied mathematics, Nankai university and Tianjin university, Tianjin 300072.{2. department of Mechanics Tianjin University Tianjin China Liu-Hui Center of Applied mathematics Nankai University and Tianjin University Tianjin China

Temporal mode direction numerical simulation has been done for the transition of a supersonic boundary layer on a flat plate with Mach number 4.5. Analysis of the result showed that during the breakdown process in laminar-turbulent transition, the mechanism causing the mean flow profile to evolve swiftly from laminar to turbulent was that the modification of mean flow profile by the disturbances,when they became larger,led to a remarkable change of its stability characteristics. Though the most unstable T-S wave was of second mode for laminar flow, the first mode waves played the key role in the breakdown process in laminar-turbulent transition.

关键词： supersonic boundary layer, transition, breakdown.

THE MATRIX ITERATION ALGORITHM SOLVING AN ENUMERATION PROBLEM ON BACTERIAL COMPLETE GENOMES

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Journal of Systems Science & Complexity 2004年第2期17卷 220-236页

作者： YANGHuakang HUANGChengxiang WENXiaowei departmentofmathematics YunnanUniversityKunming650091China

Given an alphabet ∑ and a finite minimal set B of forbidden words,a combinatorial enumeration problem on bacterial complete genomes is transformed to enumerating strings of a given length which do not contain any string in B as their *** the fact that a string in the language is equivalent to a path in the corresponding graph,we have obtained a polynomial time algorithm by modifying the power of the adjacency matrix in the graph.

关键词： bacterial complete genome alphabet Σ minimal set B of forbidden words L^k, L_(x_i,x_j)~k and L_(x_i,x_j)~k (for all x_i, x_j ∈ Σ) matrix l^((k)) (k ≥ 1), adjacencymatrix