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Modulation on the collective response behavior by the system size in two-dimensional coupled cell systems

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Science china(Physics,Mechanics & Astronomy) 2006年第3期49卷 304-312页

作者： ZHANG Jiqian1, SHEN Chuansheng1,2.& CUI Zhifeng1 1. College of Physics and Electronic Information, Anhui Normal University, Wuhu 2.1000, china 2. department of Educational Technology, anqing teachers College, anqing 2.6011, china College of Physics Electronic Information Anhui Normal University Wuhu 241000 China department of Educational Technology Anqing Teachers College Anqing 246011 China

By the intracellular calcium ionic minimal model proposed by Berridge, we investigated the collective response of two-dimensional (N×N) coupled cell systems to the external stimulation using numerical simulation methods. With a coupled intensity fixed and an appropriate coupled cell number chosen, the kinetic system size resonance was discovered. At the same time, it was found that the system size responding to the external stimulation for different coupled intensities transferred too, especially when the coupled intensity increased, the range of the corresponding system size extended. These phe- nomena illustrate that the coupled cell number and the coupled intensity can play con- structive roles in noisy coupled systems, by which the biology system would probably improve its capability to respond to the external stimulation.

关键词： cell coupling,collective response,system size resonance

Exponential attractors of the nonlinear wave equations

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Chinese Science Bulletin 1998年第16期43卷 1331-1335页

作者： DAI Zhengde 1 and MA Dacai 2.1. department of mathematics, Yunnan University, Kunming 650031,{2. 2. department of mathematics, Shangrao teachers College, Shangrao 334000,{2. department of mathematics Yunnan University Kunming China department of mathematics Shangrao Teachers College Shangrao China

The (E, E)-type exponential attractors for the nonlinear wave equation were obtained by using the decomposition of operators and finite covering *** results solves the open problem of Eden et al.

关键词： nonlinearity wave equations exponential attractors.

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 {2. University, Yantai 2.402., china 2.department of mathematics,Nankai University,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.

BGP reflection functors in root categories

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Science china mathematics 2005年第8期48卷 1033-1045页

作者： XIAO Jie, ZHANG Guanglian1’2.& Zhu Bin department of Mathematical Sciences, Tsinghua University, Beijing 100084, china department of mathematics, Yancheng teachers College, Yancheng 2.4002. china 1. department of Mathematical Sciences Tsinghua University 100084 Beijing China 2. department of mathematics Yancheng Teachers College 224002 Yancheng China

We define the BGP-reflection functors in the derived categories and the root categories. By Ringel's Hall algebra approach, the BGP-reflection functor is applicable to obtain the classical Weyl group action on the Lie... 详细信息

关键词： m-cycle complexes, derived categories, BGP-reflections, Kac-Moody algebras.

SPECTRUM-PRESERVING ELEMENTARY OPERATORS ON B(X)

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Chinese Annals of mathematics,Series B 1998年第4期19卷 511-516页

作者： HOU JINChuAN (department of {2., Shanxi teachers University, Linfen 041004, china.) Shanxi teachers Univ Dept Math Linfen 041004 Peoples R China

Characterizations for elementary operators of length 2.to be invertibility-preserving,spectrum-preserving or spectrum-compressing are obtained.

关键词： Elementary operators Spectrum-preserving linear maps Positive maps

The super-cycle of the global land-monsoon system

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National Science Review 2024年第05期11卷 107-109页

作者： Yongyun hu Laboratory for Climate and Ocean-Atmosphere Studies Department of Atmospheric and Oceanic Sciences School of Physics Peking University

The modern monsoon system consists of six regional monsoons [1]. These regional monsoons demonstrate coherently annual variations of precipitation and atmospheric circulation patterns, although they have different characteristics. Therefore, these regional monsoons are unified in the context of the global monsoon [1,2., which reflects the dominant mode of coherent annual variations of precipitation and atmospheric circulations in the tropics and subtropics.

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On quasi-convex mappings of order α in the unit ball of a complex Banach space

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Science china mathematics 2006年第11期49卷 1451-1457页

作者： LIU Taishun & XU Qinghua {2. of mathematics, huzhou teachers College, huzhou, 313000, china {2. of mathematics, Jiangxi Normal University, Nanchang, 33002., china department of mathematics Huzhou Teachers College Huzhou 313000 China department of mathematics Jiangxi Normal University Nanchang 330022 China

In this paper, a class of biholomorphic mappings named quasi-convex mapping of order a in the unit ball of a complex Banach space is introduced. When the Banach space is confined to Cn, we obtain the relation between this class of mappings and the convex mappings. Furthermore, the growth and covering theorems of this class of mappings are given on the unit ball of a complex Banach space X. Finally, we get the second order terms coefficient estimations of the homogeneous expansion of quasi-convex mapping of order a defined on the polydisc in Cn and on the unit ball in a complex Banach space, respectively.

关键词： coefficient estimation the homogeneous expansion quasi-convex mapping quasi-convex mapping of order a.

Two-dimensional simulation of Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect

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Progress in Natural Science:Materials International 2007年第12期17卷 1389-1396页

作者： hu Jun1 and Yin Xieyuan2.1. Institute of Applied Physics and Computational mathematics, Beijing 100088,{2. 2. department of Modern Mechanics, University of Science and Technology of{2., Hefei 2.002.,{2.) Institute of Applied Physics and Computational mathematics Beijing 100088 China department of Modern Mechanics University of Science and Technology of China Hefei 230027 China

Poiseuille-Rayleigh-Bénard flows in binary fluids with Soret effect are directly simulated by a mixed finite element method. A temperature perturbation is used as an initial disturbed source for the basic parallel flows. The whole spatio-temporal evolution of the binary fluid flows is exhibited: initially only the disturbed mode with the wavenumber k=π is amplified while others are damped, and continuously the amplified mode grows further and the nonlinear effect becomes important; after a nonlinear evolution transition the flow system evolves finally into a periodic right traveling wave.

关键词： Poiseuille-Rayleigh-Bénard flow Soret effect through-flow.

DYNAMIC CHARACTERISTICS OF LIQUID SLOSHING IN A TRANSVERSELY VIBRATING SPHERICAL TANK WITH A SPACER UNDER LOW GRAVITY

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Journal of Hydrodynamics 2008年第6期20卷 762-769页

作者： CHENG Xu-duo hu Mei-zhu WEN Ji-hua School of Food Science and Engineering Nanjing University of Finance and Economics Nanjing 210003 China department of Physics Anqing Teachers College Anqing 246011 China

The dynamic characteristics of liquid sloshing in a transversely vibrating spherical tank with spacer under low gravity were investigated. By expanding the characteristic functions, the frequencies and velocity potentials of liquid free-sloshing were obtained. The dynamic equations and boundary conditions of liquid sloshing in the traverse vibrational spherical tank with spacer under low gravity were derived. By modifying the velocity potentials of liquid free-sloshing, the velocity potentials of liquid sloshing in the traverse vibrating spherical tank with a spacer were obtained. Furthermore, the forces and the moments acting on tank wall were given. The numerical results show when a spacer is inserted in the tank, the sloshing frequencies of liquid and the forces acting on tank wall will decrease, but the moment of force to the centre of the tank which is caused by the force of liquid acting on the spacer will occur.

关键词： low gravity liquid forced sloshing sloshing suppression