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A difference equation approach to statistical mechanics of complex networks

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A difference equation approach to statistical mechanics of complex networks

A difference equation approach to statistical mechanics of complex networks

作者/编辑:Author:… http://www.unjs.com 自然科学论文
  [A difference equation approach to statistical mechanics of complex networks]Abstract:In this paper, we propose a difference equation approach to the estimation of the degree distributions in growing networks after having analyzed the disadvantages of some existing approaches. This approach can avoid logic conflicts caused by the continuum of discrete problems, and does not need the existence assumption of the stationary degree distribution in the network analysis. Using this approach, we obtain a degree distribution formula of the Poisson growth and preferential attachment network. It is rigorously shown that this network is scale-free based on the Poisson process theory and properties of F-distribution. 作者: Author: Jin-li GUO 作者单位: Business School, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China 期 刊: 应用数学和力学(英文版)   EISCI Journal: APPLIED MATHEMATICS AND MECHANICS 年,卷(期): 2009, 30(8) 分类号: N94 Keywords: complex network    degree distribution    scale-free network    机标分类号: O4 TP2 机标关键词: complex networks    statistical mechanics    approach    degree distributions    difference equation    Poisson process    existence    problems    theory    paper    based    avoid 基金项目: 国家自然科学基金,the Foundation of Shanghai Leading Academic Discipline Project A difference equation approach to statistical mechanics of complex networks[期刊论文]  应用数学和力学(英文版) --2009, 30(8)In this paper, we propose a difference equation approach to the estimation of the degree distributions in growing networks after having analyzed the disadvantages of some existing approaches. This appr...
A difference equation approach to statistical mechanics of complex networks2
  第2篇 Gas-kinetic numerical schemes for one- and two-dimensional inner flo
  〖预览〗Abstract:Several kinds of explicit and implicit finite-difference schemes directly solving the discretized velocity distribution functions are designed with precision of different orders by analyzing the inner characteristics of the gas-kinetic numerical algorithm for Boltzmann model equation.The peculiar flow phenomena and mechanism from various flow regimes are revealed in the numerical simulations of the unsteady Sod shock-tube problems and the two-dimensional channel flows with different Knudsen numbers.The numerical remainder-effects of the difference schem……【全文阅读:Gas-kinetic numerical schemes for one- and two-dimensional inner flo
A difference equation approach to statistical mechanics of complex networks3
  第3篇 Solar radiation pressure used for formation flying control around th
  〖预览〗Abstract:Solar radiation pressure is used to control the formation flying around the L2 libration point in the Sun-Earth system. Formation flying control around a halo orbit requires a very small thrust that cannot be satisfied by the latest thrusters. The key contribution of this paper is that the continuous low thrust is produced by solar radiation pressure to achieve the tight formation flying around the libration point. However, only certain families of formation types can be controlled by solar radiation pressure since the direction of solar radiation press……【全文阅读:Solar radiation pressure used for formation flying control around th】   〔A difference equation approach to statistical mechanics of complex networks
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