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The nonexistence of sensitive commutative group actions on graphs

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Science china Mathematics 2007年第8期50卷 1197-1204页

作者： Jie-hua MAI~1 En-hui SHI~(2+) 1 Institute of Mathematics,Shantou university,Shantou 515063,china 2.school of mathematical sciences,suzhou university,suzhou 2.5006,china Institute of Mathematics Shantou University Shantou China school of mathematical sciences Suzhou University Suzhou China

In this paper,we observe a special kind of continuous functions on *** estimating the integrals of these functions,we prove that there are no sensitive commutative group actions on ***,we consider a 1-dimensional continuum composed of a spiral curve and a circle and show that there exist sensitive homeomorphisms on it,which answers negatively a question proposed by Kato in 1993.

关键词： homeomorphism commutative group action graph map sensitivity expansiveness infinite spiral curve 54H20

A new scheme of digital communication using chaotic signals in MIMO channels

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Science china(Information sciences) 2012年第10期55卷 2183-2193页

作者： MA HuanFei 1 & KAN HaiBin 2 1 school of mathematical sciences,Soochow university,suzhou 2.5006,china 2.school of Computer Science,Fudan university,Shanghai 200433,china school of mathematical sciences Soochow University Suzhou China school of Computer Science Fudan University Shanghai China

This paper proposes a new digital communication scheme,which uses chaotic signals based on the adaptive synchronization and parameter identification technique of chaotic systems reported *** to the multi signal character,this scheme combines the chaotic signal transmission with the MIMO channel technique in a wireless environment,which is different from the traditional chaotic communication *** a practical perspective,an outline of modulation,channel model,demodulation and non-coherent detection is ***,system performance is evaluated by simulations,and improvements on this scheme are also discussed.

关键词： chaotic modulation chaotic digital communication mapping parameters MIMO channel

Preparation of Diamond-like Carbon Films on the Surface of Ti Alloy by Electro-deposition

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Journal of Materials Science & Technology 2004年第3期20卷 367-368页

作者： Fenglei SHEN Hongwei WANG Dijiang WEN school of Materials Engineering,suzhou university,suzhou 215021,china Sch. of Mat. Eng. Suzhou Univ. Suzhou 215021 China

In this paper, diamond-like carbon (DLC) films were deposited on Ti alloy by electro-deposition. DLC films were brown andcomposed of the compact grains whose diameter was about 400 nm. Examined by XPS, the main composition of the filmswas carbon. In the Raman spectrum, there were a broad peak at 1350 cm^(-1) and a broad peak at 1600 cm^(-1), which indicatedthat the films were DLC films.

关键词： Diamond-like carbon film Electro-deposition Ti alloy Surface

Difference packing arrays and systematic authentication codes

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Science china Mathematics 2004年第4期47卷 566-577页

作者： YIN JianxingDepartment of Mathematics, suzhou university, suzhou 2.5006, china Department of Mathematics Suzhou University Suzhou China

In this paper, a type of combinatorial design (called difference packing array)is proposed and used to give a construction of systematic authentication codes. Taking advantage of this construction, some new series of ... 详细信息

关键词： authentication codes, difference packing arrays, constructions.

Plateau of α-function and c-minimal homoclinic orbits

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Science china Mathematics 2006年第7期49卷 922-931页

作者： LI Xia & CUI Xiaojun Department of Mathematics, university of Science and Technology of suzhou, suzhou 215009, china mathematical Research Institute, Fudan university, Shanghai 200433, china Department of Mathematics University of Science and Technology of Suzhou Suzhou China mathematical Research Institute Fudan University Shanghai 200433 China

We consider the construction of the plateau of the α-function in a hyperbolic and positive definite Lagrangian system, and link the boundries of the α-function's plateau with the distribution of c-minimal homoclinic... 详细信息

关键词： α-function, β-function, plateau, Aubry sets.

Uniqueness and local stability for the inverse scattering problem of determining the cavity

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Science china Mathematics 2005年第8期48卷 1113-1123页

作者： FENG Lixin & MA Fuming LMAM, school of mathematical sciences, Peking university, Beijing 100871, china school of mathematical sciences, Heilongjiang university, Harbin 150080, china school of mathematical sciences, Jilin university, Changchun 130012, china LMAM School of Mathematical Sciences Peking University Beijing China school of mathematical sciences Heilongjiang University Harbin China school of mathematical sciences Jilin University Changchun China

Considering a time-harmonic electromagnetic plane wave incident on an arbitrarily shaped open cavity embedded in infinite ground plane, the physical process is modelled by Maxwell's equations. We investigate the inverse problem of determining the shape of the open cavity from the information of the measured scattered field. Results on the uniqueness and the local stability of the inverse problem in the 2-dimensional TM (transverse magnetic) polarization are proved in this paper.

关键词： uniqueness, stability, Maxwell's equations, inverse scattering problem.

INFINITE ELEMENT METHOD FOR THE EXTERIOR PROBLEMS OF THE HELMHOLTZ EQUATIONS

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Journal of Computational Mathematics 2000年第6期18卷 657-672页

作者： Lung-an Ying (school of mathematical sciences, Peking university, Beijing 100871, china) 北京大学北京 100871

There are two cases of the exterior problems of the Helmholtz equation. If λ ≥ 0 the bilinear form is coercive, and if λ < 0 it is the scattering problem. We give a new approach of the infinite element method, which enables us to solve these exterior problems as well as corner problems. A numerical example of the scattering problem is given. [ABSTRACT FROM AUTHOR]

关键词： Helmholtz equation exterior problem infinite element method

CLASSICAL SOLUTION OF QUASI-STATIONARY STEFAN PROBLEM

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 175-186页

作者： YI FAHUAI Department of Mathematics, suzhou university, suzhou 2.5006, china. Department of Mathematics Suzhou University Suzhou 215006 China

This paper considers the quasi-stationary Stefan problem:△u(x,t)=0 in space-time domain,u=0 and Vv +(?)u/(?)u=0 on the free boundary.Under the natural conditions the existence of classical solution locally in time is proved bymaking use of the property of Frechet derivative operator and fixed point theorem. For thesake of simplicity only the one-phase problem is dealt with. In fact two-phase problem can bedealt with in a similar way with more complicated calculation.

关键词： Classical solution Quasi-stationary Stefan problem Frechet derivative

NUMERICAL ANALYSIS OF NONSTATIONARY THERMISTOR PROBLEM

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Journal of Computational Mathematics 1994年第3期12卷 213-223页

作者： Yue Xingye(suzhou university, suzhou, Jiangsu, china) 苏州大学江苏苏州

The thermistor problem is a coupled system of nonlinear PDEs which consists of the heat equation with the Joule heating as a source, and the current conservation equation with temperature dependent electrical conductivity. In this paper we make a numerical analysis of the nonsteady thermistor problem. L(infinity)(OMEGA), W1,infinity(OMEGA) stability and error bounds for a piecewise linear finite element approximation are given.

关键词： QT NUMERICAL ANALYSIS OF NONSTATIONARY THERMISTOR PROBLEM Math