Making forecasts for chaotic physical processes

被引:24
作者
Danforth, CM [1 ]
Yorke, JA [1 ]
机构
[1] Univ Maryland, College Pk, MD 20742 USA
关键词
D O I
10.1103/PhysRevLett.96.144102
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Making a prediction for a chaotic physical process involves specifying the probability associated with each possible outcome. Ensembles of solutions are frequently used to estimate this probability distribution. However, for a typical chaotic physical system H and model L of that system, no solution of L remains close to H for all time. We propose an alternative. This Letter shows how to inflate or systematically perturb the ensemble of solutions of L so that some ensemble member remains close to H for orders of magnitude longer than unperturbed solutions of L. This is true even when the perturbations are significantly smaller than the model error.
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页数:4
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