| 自组织临界性的相空间重构 |
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| 引用本文： | 史玲娜,董光先,鲁皓.自组织临界性的相空间重构[J].四川大学学报(自然科学版),2005,42(3):518-522. |
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| 作者姓名： | 史玲娜 董光先 鲁皓 |
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| 作者单位： | 重庆交通学院基础部,重庆,400074;重庆计量技术研究所,重庆,400020 |
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| 摘 要： | 作者通过采用相空间重构法对具有自组织临界性的BTW沙堆模型进行了分析，根据仿真得到的沙崩关联长度这个一维时间序列，用时延技术进行吸引子重构，得到了重构相空间的嵌入维数和关联维数，说明关联维数越低，系统的层次越高，趋势越明显．用相空间重构法可以用来分析其他具有自组织临界性的系统，在进行短期预测上有一定的意义．
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| 关 键 词： | 自组织临界性 时间序列 相空间重构 关联维数 嵌入维 |
| 文章编号： | 0490-6756(2005)03-0518-05 |
Phase Space Reconstruction of Self-Organized Criticality |
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| SHI Ling-na,DONG Guang-xian,LU Hao.Phase Space Reconstruction of Self-Organized Criticality[J].Journal of Sichuan University (Natural Science Edition),2005,42(3):518-522. |
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| Authors: | SHI Ling-na DONG Guang-xian LU Hao |
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| Institution: | SHI Ling-na~1,DONG Guang-xian~2,LU Hao~1 |
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| Abstract: | The authors analyse a system with self-organized criticality-BTW sand-model by phase space reconstruction.The analysis is based on the associated length of avalanche-one dimension time sequence, obtained by computer simulation. Then the authors reconstruct the attractior of system by time-delay technique, and obtain the embed dimension and associated dimension. The result illuminates that the lower the associated dimension, the higher the level of the system, and the more obvious the trend. The phase space reconstruction can be used to analyse other self-organized critical systems, which has biggish meaning for short-term forecast. |
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| Keywords: | self-organized criticality time sequence phase space reconstruction associated dimension embed dimension |
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