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Variational construction of unbounded orbits in Lagrangian systems

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Science china mathematics 2010年第3期53卷 617-624页

作者： CHENG Chong-Qing 1, & LI Xia 2 1 department of mathematics, Nanjing university, Nanjing 210093, china 2.department of mathematics, Suzhou university of Science and Technology, Suzhou 215001, china 1. department of mathematics Nanjing University Nanjing 210093 China2. Department of Mathematics Suzhou University of Science and Technology Suzhou 215001 China

We show the existence of unbounded orbits in perturbations of generic geodesic flow in T2 by a generic periodic potential. Different from previous work such as in Mather (1997), the initial values of the orbits obtain... 详细信息

关键词： positive definite Lagrangian variational method unbounded orbit

Study on the reaction of triple helix poly(A:2I) with Cu^(2+)

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Chinese Journal of Chemistry 1996年第4期14卷 297-302页

作者： HUA, Er-BingCoordination Chemistry Institute, State Key Laboratory of Coordination Chemistry, Nanjing university, Nanjing, Jiangsu 210008, chinaYANG, pin LI, Qing-Shan YANG, Bin-ShengInstitute of Molecular Science, shanxi university, Taiyuan, shanxi 030006, china Coordination Chemistry Institute State Key Laboratory of Coordination Chemistry Nanjing University Nanjing Jiangsu 210008 China

The effect of Cu2+ on the triple-stranded helical structure of poly(A:2I) was studied by means of circular dichroism spectral method with the help of ultraviolet spectral and ethidium bromide fluorescence probe methods. It was found that Cu2+ destabilizes the structure of the triple helix poly(A:2I) and induces its structural transformations, meanwhile, the transformations can be partially reversed by a higher NaCl concentration. The structural transformations may be expressed by the following scheme: poly(A:2I) - poly(A:I) + poly(I)- poly(A) + 2poly(I)

关键词： poly(A:2I) CD fluorescence probe structural transformation

A NONLINEAr GALErKIN METHOD WITH VArIABLEMODES FOr KUrAMOTO-SIVASHINSKY EQUATION

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Journal of Computational mathematics 1999年第3期17卷 243-256页

作者： Yu-jiang wu(Depadrtment of mathematics, Shanghai university, Jiadiap Shanghai 201800, china department of mathematics, Lanzhou university, Lanzhou 750000, china) 上海大学数学系上海

This article proposes a kind of nonlinear Galerkin methods with variable modes for the long-term integration of Kuramoto-Sivashinsky equation. It consists of finding an appropriate or best number of modes in the correction of the method. Convergence results and error estimates are derived for this method. Numerical examples show also the efficiency and advantage of our method over the usual nonlinear Galerkin method and the classical Galerkin method.

关键词： Kuramoto-Sivaskinsky equation nonlinear Galerkin method approximation convergence

Classification of Wavelet Bases by Translation Subgroups and Nonharmonic Wavelet Bases

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Acta Mathematica Sinica,English Series 2000年第2期16卷 307-312页

作者： Qiao Wang department of radio Engineering,Southeast university,Nanjing 210096,p.r.china department of radio Engineerin Southeast University Nanjing 210096 P. R. China

The structure of the set S of shiftable points of wavelet subspaces is researched in this *** prove that S=r or S=(1/q)Z where q ∈ *** spectral and functional characterizations for the shiftability are ***,the nonhar... 详细信息

关键词： Wavelet Translation invariance Functional characterization

Transitional function of DG to CA3 in the hippocampus

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progress in Natural Science:Materials International 2007年第12期17卷 1436-1444页

作者： Yan Chuankui1 and Liu Shenquan2(1. department of mathematics, Hangzhou Normal university, Hangzhou 310036, china 2. department of Applied mathematics, School of Mathematical Sciences, South china university of Technology, Guangzhou 510640, china) department of mathematics Hangzhou Normal University Hangzhou 310036 China department of Applied mathematics School of Mathematical Sciences South China University of Technology Guangzhou 510640 China

Using single cell channel model, the transmission features of CA3-DG network in the hippocampus are investigated. The influence of the stimulation on discharge pattern of pyramidal neurons is analyzed, which shows that it starts with period spiking discharges, followed by period-doubling bifurcation to chaos, and period 3 discharge evolving into chaos, and ultimately a period of bursting discharges. By the synaptic model, the CA3-DG network model is constructed, which analyzes the summation of postsynaptic currents in the network, the influence of postsynaptic current on discharge rhythm as well as the mechanism of bursting discharges. The strong capacity of spatiotemporal encoding in the network indicates the features of CA3 network during the information transmission process in the hippocampus. The modeling result with time delay of the synaptic transmission is in accordance with the experimental phenomena of action potential in the hippocampus.

关键词： hippocampus CA3-DG period-doubling bifurcation chaos.

Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries

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Science china mathematics 2007年第9期50卷 1251-1266页

作者： Ling-hua KONG~(1+) Ming-xin WANG~(2,3) 1 department of Applied mathematics,Dalian university of Technology,Dalian 116024,china 2.department of mathematics,Southeast university,Nanjing 210018,china 3 department of mathematics,Xuzhou Normal university,Xuzhou 221116,china 1. department of Applied mathematics Dalian University of Technology Dalian 116024 China 2. department of mathematics Southeast University Nanjing 210018 China 3. department of mathematics Xuzhou Normal University Xuzhou 221116 China

This paper deals with a semi-linear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. By using super-and sub-solution techniques, we first give the sufficient conditions that the classical solution exists globally and blows up in a finite time respectively, and then give the necessary and sufficient conditions that two components u and ν blow up simultaneously. Finally, the uniform blow-up profiles in the interior are presented.

关键词： parabolic system nonlocal sources nonlocal boundary conditions blow-up set simultaneous blow-up uniform blow-up profile 35K15 35K65

Theory Method and Model for ANp Dynimic Management of Teaching

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Systems Science and Systems Engineering 2000年第4期10卷 454-463页

作者： ZHANG Zhi\|yao 1, DING Yu\|wei 2 1.department of Environment, shanxi university, Taiyuan 030006, china 2.Jinzhong Vocational College, Yuci 030600, china

Based on the analysis of teaching′s development and existence problem at present, this paper put forward some concept of ANp (all aspects, all numbers and whole process) dynimic accumulation level, dynimic fluctuation level, phase actual level and dynimic advancement index level. At the same time, a practicable evaluation method and model is presented. The method and model has been put into ″The comprehensive quality management system of shanxi Tongbaoyujie school″.

关键词： dynimic management of teaching evaluation method and modeL

A Characterization for Windowed Fourier Orthonormal Basis with Compact Support

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Acta Mathematica Sinica,English Series 2001年第3期17卷 501-506页

作者： You Ming LIU department of Applied mathematics,Beijing polytechnic university.Beijing 100022,p.r.china E-mail:liuym@*** department of Applied mathematics Beijing Polytechnic University Beijing 100022 P. R. China

Let g（x） ∈L2（r） and （ω） be the Fourier transform of g（x）.Define gmn（x）=eimxg（x- 2πn）.In this paper we shall give a sufficient and necessary condition under which {gmn（x）} constitutes an orthonormal ba... 详细信息

Let g（x） ∈Lp>2p>（r） and （ω） be the Fourier transform of g（x）.Define gmn（x）=ep>imxp>g（x- 2πn）.In this paper we shall give a sufficient and necessary condition under which {gmn（x）} constitutes an orthonormal basis of Lp>2p>（r） for compactly supported g（x） or （ω）.

关键词： Windowed Fourier basis Congruence

Study on the Thermodynamic Stabilities of Te-Substituted Di-n-butyltellurium Ylide

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Chinese Chemical Letters 1998年第10期9卷 897-898页

作者： Bo LIU Jin pei CHENG Chi Zhong XIA(department of Chemistry, Nankai university, Tianjin 300071 Institute of Molecular Science and Depotment of Chemistry, shanxi university,Taiyuan 030006) Nankai Univ Dept Chem Tianjin 300071 Peoples R China shanxi Univ Inst Mol Sci Taiyuan 030006 Peoples R China shanxi Univ Dept Chem Taiyuan 030006 Peoples R China

Eight Te-substituted di-n-butyltellurium bromides were synthesized. Their equilibrium acidities (pK(A)) were determined in DMSO at 25 degrees C and the thermodynamic stabilities of the corresponding tellurium ylide ca... 详细信息

关键词： tellurium ylide stability pK(A)