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The statistical structure of Lorenz strange attractors
Authors:Chengzhi Zou  Xiuji Zhou  Peicai Yang
Affiliation: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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