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Near generalized balanced tournament designs with block sizes 4 and 5

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Science china mathematics 2009年第9期52卷 1927-1938页

作者： SHAN XiuLing1, 2 1 Department of mathematics, Beijing Jiaotong university, Beijing 100044, china {3. and information Science, Hebei normal university, Shijiazhuang 050016, china Department of mathematics Beijing Jiaotong University Beijing 100044 China college of mathematics and information Science Hebei Normal University Shijiazhuang 050016 China

A near generalized balanced tournament design, or an NGBTD(k,m) in short, is a (km+1,k,k-1)-BIBD defined on a (km+1)-set V . Its blocks can be arranged into an m×(km+1) array in such a way that (1) the blocks in every column of the array form a partial parallel class partitioning V\{x} for some point x, and (2) every element of V is contained in precise k cells of each row. In this paper, we completely solve the existence of NGBTD(4,m) and almost completely solve the existence of NGBTD(5,m) with four exceptions.

关键词： near generalized balanced tournament designs frame generalized doubly resolvable packing constructions existence 05B05

Generalized dromion solutions of a new higher dimensional soliton equation

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Communications in Nonlinear Science and Numerical Simulation 2001年第2期6卷 97-101页

作者： Jiefang ZHANG and Gongdi XU Shanghai Institute of Applied mathematics and Mechanics, Shanghai 200072, china Institute of Nonlinear Physics, zhejiang normal university, {3. 3.1004, china college of Chemical engineering, Qiqihar university, Qiqihar 161 Shanghai Institute of Applied mathematics and Mechanics Shanghai 200072 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China college of Chemical engineering Qiqihar University Qiqihar161000 China

We derive the generalized dromions of the new higher dimensional soliton equation by suitably utilizing the arbitrary function present in the bilinearized linear equations. The rich dromion structures for this system ... 详细信息

关键词： dromion soliton equation

Some Properties of Aut*（X） and the Subgroup AutΣ（X）

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Communications in Mathematical Research 2009年第2期 97-103页

作者： Qian You-hua and Chen Sheng-min (college of mathematics,Physics and information {3.,zhejiang normal university,jinhua,zhejiang,3.1004)

Let Aut*(X) denote the group of homotopy classes of self-homotopy equivalences of X, which induce identity automorphisms of homology group. We describe a decomposition of Aut*(X1∨…∨Xn) as a product of its simpler subgroups. We consider the subgroup AutΣ (X) of all self homotopy classes α of X such that Σα = 1ΣX : ΣX→ΣX, and also give some properties of AutΣ (X).

关键词： self-homotopy equivalences the wedge space reducible

Robustness and breakup of the spiral wave in a two-dimensional lattice network of neurons

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Science china(Physics,Mechanics & Astronomy) 2010年第4期53卷 672-679页

作者： MA Jun 1,2, TANG Jun 2 , ZHANG AiHua 3.& JIA Ya 2 1 Department of Physics, Lanzhou university of Technology, Lanzhou 73.050, china 2 Department of Physics, Central china {3. university, Wuhan 43.079, china 3.college of Electrical and information engineering, Lanzhou university of Technology, Lanzhou 73.050, china 1. Department of Physics Lanzhou University of Technology Lanzhou 730050 China2. Department of Physics Central China Normal University Wuhan 430079 China3. College of Electrical and Information Engineering Lanzhou University of Technology Lanzhou 730050 China

The robustness and breakup of spiral wave in a two-dimensional lattice networks of neurons are investigated. The effect of small- world type connection is often simplified with local regular connection and the long-range connection with certain probability. The network effect on the development of spiral wave can be better described by local regular connection and changeable long-range connection probability than fixed long-range connection probability because the long-range probability could be changeable in realistic biological system. The effect from the changeable probability for long-range connection is simplified by multiplicative noise. At first, a stable rotating spiral wave is developed by using appropriate initial values, parameters and no-flux boundary conditions, and then the effect of networks is investigated. Extensive numerical studies show that spiral wave keeps its alive and robust when the intensity of multiplicative noise is below a certain threshold, otherwise, the breakup of spiral wave occurs. A statistical factor of synchronization in two-dimensional array is defined to study the phase transition of spiral wave by checking the membrane potentials of all neurons corresponding to the critical parameters(the intensity of noise or forcing current)in the curve for factor of synchronization. The Hindmarsh-Rose model is investigated, the Hodgkin-Huxley neuron model in the presence of the channel noise is also studied to check the model independence of our conclusions. And it is found that breakup of spiral wave is easier to be induced by the multiplicative noise in presence of channel noise.

关键词： spiral wave factor of synchronization breakup multiplicative noise robustness

Non-universal Gauge Bosons Z'and the Process e~+e~- →f

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Communications in Theoretical Physics 2004年第3期41卷 419-424页

作者： YUE Chong-Xing~1 WANG Shun-Zhi~2 1 Department of Physics,Liaoning normal university,Dalian 116029,china {3. of Physics and information engineering,Henan normal university,Xinxiang 453.02,china Department of Physics Liaoning Normal University Dalian 116029 college of Physics and information engineering Henan Normal University Xinxiang 453002

Introduetion Altl、ough the standard model(SM)that bases on thega、lge gro、ip SU:(2)xU(1)has been sueeessful in de-seribing the Physies of eleetroweak interaetions,the meeh-anisn,of the eleetroweak symmetry breaking(... 详细信息

关键词： non-universal gauge bosons cross section TC2 models

On solving equations of algebraic sum of equal powers

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Science china mathematics 2006年第9期49卷 1153-1157页

It is well known that a system of equations of sum of equal powers can be converted to an algebraic equation of higher degree via Newton's identities. This is the Viete-Newton theorem. This work reports the generalizations of the Viete-Newton theorem to a system of equations of algebraic sum of equal powers. By exploiting some facts from algebra and combinatorics,it is shown that a system of equations of algebraic sum of equal powers can be converted in a closed form to two algebraic equations, whose degree sum equals the number of unknowns of the system of equations of algebraic sum of equal powers.

关键词： algebraic sum of equal powers, Newton's identities, system of equations,roots of a polynomial.

On adjacent-vertex-distinguishing total coloring of graphs

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Science china mathematics 2005年第3期48卷 289-299页

作者： ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang college of mathematics and information Science, Northwest {3. university, Lanzhou 73.070, china Department of Computer, Lanzhou {3. college, Lanzhou 73.070, china Institute of Applied mathematics, Lanzhou Jiaotong university, Lanzhou 73.070, china college of information and Electrical engineering, Lanzhou Jiaotong university, Lanzhou 73.070, china Institute of Applied mathematics, Chinese Academy of Sciences, Beijing 100080, china 1. college of mathematics and information Science Northwest Normal University 730070 Lanzhou China 2. Department of Computer Lanzhou Normal College 730070 Lanzhou China 3. Institute of Applied mathematics Lanzhou Jiaotong University 730070 Lanzhou China 4. college of information and Electrical engineering Lanzhou Jiaotong University 730070 Lanzhou China 5. Institute of Applied mathematics Chinese Academy of Sciences 100080 Beijing China

In this paper, we present a new concept of the adjacent-vertex-distinguishing total coloring of graphs (briefly, AVDTC of graphs) and, meanwhile, have obtained the adjacent-vertex-distinguishing total chromatic number... 详细信息

关键词： graph, proper total coloring, adjacent-vertex-distinguishing total coloring, adjacent-vertex-distinguishing total chromatic number.

Pointwise estimates for the maximal multilinear singular integral operators

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Science china mathematics 2005年第12期48卷 1696-1706页

作者： HU Guo’en, LI Dengfeng & LU Shanzhen Department of Applied mathematics, university of information {3., P. O. Box 1001 -747, Zhengzhou 450002, china college of Mathematical and information Sciences, Henan university, Kaifeng 475001, china Department of mathematics, Beijing normal university, Beijing 100875, china 1. Department of Applied mathematics University of Information Engineering P.O.Box 1001-747 450002 Zhengzhou China 2. college of Mathematical and information Sciences Henan University 475001 Kaifeng China 3. Department of mathematics Beijing Normal University 100875 Beijing China

Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) est... 详细信息

关键词： multilinear singular integral,maximal operator,BMO (Rn),BLO (Rn).

A relationship between the nonexistence of generalized bent functions and class groups

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Science china mathematics 2010年第1期53卷 213-222页

作者： LIU FengMei 1,& YUE Qin 21 Department of information Research,college of information {3.,information {3. university,Zhengzhou 450002,china 2 Department of mathematics,Nanjing university of Aeronautics and Astronautics,Nanjing 210016,china 1. Department of information Research College of Information Engineering Information Engineering University Zhengzhou 450002 China2. Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

A new result on the nonexistence of generalized bent functions is presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations. At the same time,a method is given which can be used to simplify the known results. Then we give the bounds and the meaning in algebraic number theory of the parameters in our results.

关键词： generalized bent function integral basis class group genus theory