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Volume 2 Issue 2

Apr.  1985

Article Contents

THE STATISTICAL STRUCTURE OF LORENZ STRANGE ATTRACTORS


doi: 10.1007/BF03179753

  • The statistical characteristic quantities and marginal probability distribution of the Lorenz strange attractors were computed numerically. The results indicate that after a sufficiently long time the statistical characteristic quantities and marginal probability distribution tend to stable states, and the motion on the strange attractor is ergodic.
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    [4] Qian ZOU, Quanjia ZHONG, Jiangyu MAO, Ruiqiang DING, Deyu LU, Jianping LI, Xuan LI, 2023: Impact of Perturbation Schemes on the Ensemble Prediction in a Coupled Lorenz Model, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 501-513.  doi: 10.1007/s00376-022-1376-z
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    [7] Ruiqiang DING, Baojia LIU, Bin GU, Jianping LI, Xuan LI, 2019: Predictability of Ensemble Forecasting Estimated Using the Kullback-Leibler Divergence in the Lorenz Model, ADVANCES IN ATMOSPHERIC SCIENCES, , 837-846.  doi: 10.1007/s00376-019-9034-9
    [8] Zou Chengzhi, Yang Peicai, Zhou Xiuji, 1986: THE EFFECT OF ASPECT RATIO ON THE BIFURCATION PROPERTIES OF A DOUBLE PARALLEL-CONNECTION LORENZ SYSTEM, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 406-423.  doi: 10.1007/BF02657931
    [9] LIU Shikuo, LIU Shida, FU Zuntao, XIN Guojun, LIANG Fuming, 2004: The Structure and Bifurcation of Atmospheric Motions, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 557-561.  doi: 10.1007/BF02915723
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    [12] Keon Tae SOHN, Jeong Hyeong LEE, Soon Hwan LEE, Chan Su RYU, 2005: Statistical Prediction of Heavy Rain in South Korea, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 703-710.  doi: 10.1007/BF02918713
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    [17] YOU Wei, ZANG Zengliang, PAN Xiaobin, ZHANG Lifeng, LI Yi, 2015: Statistical Analysis of Thunderstorms on the Eastern Tibetan Plateau Based on Modified Thunderstorm Indices, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 515-527.  doi: 10.1007/s00376-014-4039-x
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    [19] Yahao WU, Liping LIU, 2017: Statistical Characteristics of Raindrop Size Distribution in the Tibetan Plateau and Southern China, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 727-736.  doi: 10.1007/s00376-016-5235-7
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Manuscript History

Manuscript received: 10 April 1985
Manuscript revised: 10 April 1985
通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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THE STATISTICAL STRUCTURE OF LORENZ STRANGE ATTRACTORS

  • 1. Institute of Atmospheric Physics, Academia Sinica, Beijing,Institute of Atmospheric Physics, Academia Sinica, Beijing,Institute of Atmospheric Physics, Academia Sinica, Beijing

Abstract: The statistical characteristic quantities and marginal probability distribution of the Lorenz strange attractors were computed numerically. The results indicate that after a sufficiently long time the statistical characteristic quantities and marginal probability distribution tend to stable states, and the motion on the strange attractor is ergodic.

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