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POISSON ALGEBRA STRUCTURES ON sp_(2■)(■_Q)WITH NULLITY m

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Acta Mathematica Scientia 2007年第3期27卷 473-490页

作者：靳全勤佟洁 department of mathematics Tongji University

Noncommutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law. In this article,the noncommutative Poisson algebra structures on... 详细信息

关键词： Noncommutative Poisson algebras Leibniz law

Solitary Waves for Cubic-Quintic Nonlinear SchrSdinger Equation with Variable Coefficients

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Communications in Theoretical Physics 2006年第2期 343-346页

作者： ZHANG Jin-Liang~1 WANG Ming-Liang~(1,2) LI Xiang-Zheng~11 department of mathematics and Physics,Henan University of Science and Technology,Luoyang 471003,china2 department of mathematics,Lanzhou University,Lanzhou 730000,china department of mathematics and Physics，Henan University of Science and Technology，Luoyang 471003，china department of mathematics and Physics，Henan University of Science and Technology，Luoyang 471003，china department of mathematics，Lanzhou University，Lanzhou 730000，china

The cubic-quintic nonlinear Schrdinger equation (CQNLS) plays important parts in the optical fiber andthe nuclear *** using the homogeneous balance principle,the bell type,kink type,algebraic solitarywaves,and trigonometric traveling waves for the cubic-quintic nonlinear Schrdinger equation with variable coefficients(vCQNLS) are derived with the aid of a set of subsidiary high-order ordinary differential equations (sub-equations forshort).The method used in this paper might help one to derive the exact solutions for the other high-order nonlinearevolution equations,and shows the new application of the homogeneous balance principle.

关键词： cubic-quintic nonlinear Schr6dinger equation with variable coefficients homogeneous balance principle solitary wave

The behavior of attractors for damped Schrdinger-Boussinesq equation

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Communications in Nonlinear Science and Numerical Simulation 2001年第1期 54-60页

作者： Boling GUO and Xianyun DU (Institute of Applied Physics and Computational mathematics, Beijing 100088, china Graduate School, Chinese Academy of Engineering Physics, Beijing 100088,.china department of mathematics, Mianyang Normal College, Miangang 6

In this paper, we study the attractor and its regularity of the damped Schrodinger-Boussionesq equation.

关键词： Schrdinger-Boussinesq equation attractor Regularity

STABILITY FOR THE MIX-DELAYED COHEN-GROSSBERG NEURAL NETWORKS WITH NONLINEAR IMPULSE

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Journal of Systems Science & Complexity 2010年第3期23卷 665-680页

作者： Yong ZHAO Qishao LU Zhaosheng FENG department of Dynamics and Control Beijing University of Aeronautics and Astronautics Beijing 100191 China department of mathematics University of Texas-Pan American Edinburg TX 78539 USA

In this paper,the authors are concerned with the stability of the mix-delayed Cohen-Grossbergneural networks with nonlinear impulse by the nonsmooth *** novel sufficientconditions are obtained for the existence and the globally asymptotic stability of the unique equilibriumpoint,which include the well-known results on some impulsive systems and non-impulsive systems asits particular *** authores also analyze the globally exponential stability of the *** examples are exploited to illustrate the feasibility and effectiveness of our results.

关键词： Asymptotic stability equilibrium point Lyapunov method neural networks nonlinear impulses nonsmooth analysis.

THE NOVEL COMMUNICATION ALGORITHM AND THE THROUGHPUT ANALYSIS FOR WIRELESS SENSOR NETWORKS

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Journal of Electronics(china) 2007年第4期24卷 550-556页

作者： Yu Genjian Zheng Baoyu Xu Li Institute of Signal and Information Processing Nanjing University of Posts and Telecommunications Nanjing 210003 China department of mathematics and Computer Science Fuzhou University Fuzhou 350002 China department of mathematics and Computer Science Fujian Normal University Fuzhou 350007 China

Aiming at the significance of the energy controls of wireless sensor networks, an economical energy consumption algorithm for wireless communicating in Wireless Sensor Networks (WSN) is presented. Based on the algorithm, the maximal system throughput of WSN is analyzed, and the upper bound of throughput of WSN is proposed and proved. Some numerical simulations are conducted and analyzed. The conclusions include that the transmitting radius of sensor node and the parameters of the energy cost function have significant influence upon the throughput, but the monitoring region radius has little influence. For the same transmitting distance, the more the hopping of information trans- mitting, the better the throughput of WSN. On the other hand, for the energy optimization of the whole WSN, the trade-off problem between the throughput capacity and the relay nodes is proposed, and the specific expression of relay hops that minimized the energy consumptions and the maximal throughput of WSN under the specific situation is derived.

关键词： Wireless Sensor Networks (WSN) Communication algorithm Throughput Energy cost function Trade-off

A New Lie Algebra and a Way to Generate Multiple Integrable Couplings

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Communications in Theoretical Physics 2007年第12期48卷 979-982页

作者： FENG Bin-Lu~(1,2)and HAN Bo~1~1 department of mathematics,Harbin Institute of Technology,Harbin 150001,china~2 department of mathematics,Weifang University,Weifang 261000,china department of mathematics Harbin Institute of Technology department of mathematics Weifang University

A new higher-dimensional Lie algebra is constructed,which is used to generate multiple integrable *** this,we come to a general approach for seeking multi-integrable couplings of the known integrablesoliton equations.

关键词： Lie algebra integrable hierarchy Hamiltonian structure

THE　RATIONALITY　OF　THE　DISCRETE　ORDINATES　METHOD　FOR　TIME　DEPENDENT　NEUTRON　TRANSPORT　EQUATION

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Systems Science and Mathematical Sciences 1995年第1期8卷 1-3页

作者： LI Xuezhi ZHU Guangtian (Institute of Systems Science, Academia Sinica, Beijing 100080, china)LIANG Benzhong (department of mathematics, Xinyang Teachers College, Henan 464000, china) 中科院系统科学所北京信阳师范学院数学系河南信阳 464000

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ＴＨＥＲＡＴＩＯＮＡＬＩＴＹＯＦＴＨＥＤＩＳＣＲＥＴＥＯＲＤＩＮＡＴＥＳＭＥＴＨＯＤＦＯＲＴＩＭＥＤＥＰＥＮＤＥＮＴＮＥＵＴＲＯＮＴＲＡＮＳＰＯＲＴＥＱＵＡＴＩＯＮＬＩＸｕｅｚｈｉ；ＺＨＵＧｕａｎｇｔｉａｎ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉ...

关键词： Discrete ordinate method neutron transport equation integrated semigroups.

Lithium intercalation/de-intercalation behavior of a composite Sn/C thin film fabricated by magnetron sputtering

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Rare Metals 2008年第5期27卷 507-512页

作者： ZHAO Lingzhi HU Shejun LI Weishan LI Liming HOU Xianhua department of Chemistry South China Normal UniversiO Guangzhou 510006 China Faculty of Material and Energy Guangdong University of Technology Guangzhou 510006 China Key Lab of Technology on Electrochemical Energy Storage and Power Generation in Guangdong Universities Guangzhou 510006 China department of Mathernatics and Physics Wuyi University Jiangmen 529020 China

A tin film of 320 nm in thickness on Cu foil and its composite film with graphite of-50 nm in thickness on it were fabricated by magnetron sputtering. The surface morphology, composition, surface distributions of alloy elements, and lithium intercalation/de-intercalation behaviors of the fabricated films were characterized by X-ray diffraction （XRD）, scanning electron microscopy （SEM）, electron probe microanalyzer （EPMA）, X-ray photoelectron spectroscopy （XPS）, inductively coupled plasma atomic emission spectrometry （ICP）, cyclic voltammetry （CV）, and galvanostatic charge/discharge （GC） measurements. It is found that the lithium intercalation/de-intercalation behavior of the Sn film can be significantly improved by its composite with graphite. With cycling, the discharge capacity of the Sn film without composite changes from 570 mAh/g of the 2nd cycle to 270 mAh/g of the 20th cycle, and its efficiency for the discharge and charge is between 90% and 95%. Nevertheless, the discharge capacity of the composite Sn/C film changes from 575 mAh/g of the 2nd cycle to 515 mAh/g of the 20th cycle, and its efficiency for the discharge and charge is between 95% and 100%. The performance improvement of tin by its composite with graphite is ascribed to the retardation of the bulk tin cracking from volume change during lithium intercalation and de-intercalation, which leads to the pulverization of tin.

关键词： lithium-ion battery anode magnetron sputtering composite film lithium intercalation/de-intercalation

Existence of the time periodic solution for damped Schrdinger-Boussinesq equation

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Communications in Nonlinear Science and Numerical Simulation 2000年第4期 179-183页

作者： Boling GUO and Xianyun DU (Institute of Applied Physics and Computational mathematics,Beijing 100088, china Graduate School, Chinese Academy of Engineering Physics, Beijing 100088,.china department of mathematics, Mianyang Normal College, Mianyang 621000,

In this paper, we study the time priodic solution for the weakly damped Schrodinger- Boussinesq equation, by Galerkin method, and prove the existence and unique- ness of the equations under some appropriate conditions.

关键词： Schrodinger- Boussinesq equation time priodie solution Galerkin met?