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BASKETBALL SCORING IN NBA GAMES:AN EXAMPLE OF COMPLEXITY

Journal of Systems Science & Complexity 2013年第1期26卷 94-103页

作者： DE SA GUERRA Yves MARTíN GONZALEZ Juan Manuel SARMIENTO MONTESDEOCA Samuel RODRIGUEZ RUIZ David ARJONILLA LóPEZ Nieves GARCíA-MANSO Juan Manuel Departament of Phisical Education University of Las Palmas de Gran Canaria Departament of Physics University of Las Palmas de Gran Canaria

Scoring in a basketball game is a highly dynamic, non-linear process. NBA teams try to be more and more competitive each season. For instance, they incorporate into their rosters the best players in the world. This and other mechanisms concur to make the scoring process in NBA games exciting and rarely predictable. This paper is to study the behavior of timing and scoring in basketball gaines. The authors analyze all the games in five NBA regular seasons （2005-06, 2006-07, 2007-08, 2008-09, 2009-10）, for a total of 6150 games. Scoring does not behave uniformly; therefore, the authors also analyze the distributions of the differences in points in the basketball games. To further analyze the behavior of the tail of the distribution, the authors also carry out a semilog-plot and a log-log plot to verify whether this trend approaches a Poisson distribution or a PL. This paper reveals different areas of behavior related to the score, with specific instances of time that could be considered tipping points of the game. The presence of these critical points suggests that there are phase transitions where the dynamic scoring of the games varies significantly.

关键词： Complexity NBA non-linear Poisson power law.

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The Lp Stability Analysis of the Basic Functions for Fractional Order Systems

The Lp Stability Analysis of the Basic Functions for Fractio...

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第24届中国控制与决策会议

作者： Jingjing Zheng,the School of Mathematics, Shandong University Yan Li ,the School of Control Science and Engineering, Shandong University Baodong Liu the Software College, Shandong University YangQuan Chen the Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering Department, Utah State University

In this paper, the L p stability of the Mittag-Leffler function with two parameters times a power law.function t γ 1 E α,β （ λtα ） is discussed on the infinite time interval. The necessary and sufficient conditions of L p stability are derived, which show that the discussed function is a continuous intermediate process connecting the exponential, power law.and Mittag-Leffler functions. A number of examples about the fractional order Lyapunov method and fractional order systems are illustrated to validate the concepts.

关键词： Fractional calculus Mittag-Leffler function L p stability power law.

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power Network Analysis Based on the Complexity Approaches

Power Network Analysis Based on the Complexity Approaches

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第二十三届中国控制会议

作者： Shengwei Mei, Ancheng Xue, Yiguang Hong (Dept. of Electrical Engineering, Tsinghua University, Beijing, 100084, P. R. China) (Institute of System Science, Chinese Academic of Science, Beijing, 100080, P. R. China)

＜正＞ This paper presents the state-of-the-art of the power network analysis based on the complexity system approaches. It introduces the current status of the application of the network approach, small world approach, and the power law.approach in the power system. Furthermore, the paper reveals the difficulties of the different approaches confronting. Finally, it points out that to apply the complex system approaches to the power grid analysis successfully, we must develop the （network） model capturing the voltage law.of power system.

关键词： Complexity power system complex network small world self-organized criticality power law.

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