Abstract
It is impossible, mathematically, to use a time series which is regarded as a set of observational facts of a dynamic system to reconstruct the particular system. Physically, however, with a few assumptions put, a dynamic system can be rebuilt approximately by means of observational facts. This is the goal of the so called invariant quantity method (IQM), whose research and experiment are of potential significance to atmospheric sciences.
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References
Courant R. and H. Hilbert (1962), Methods of Mathematical Physics, Vol. II. Chinese version translated by Xiong Zhenxiang and Yang Yingchen, Science Press, Beijing (1977), 49–122.
Liu Guifu (1995), Recurrent similarity,J. Nanjing Inst. Meteor.,1: 166–171 (in Chinese with English abstract).
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This project is supported by the National Natural Science Foundation.
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Guifu, L. Introduction to an invariant quantity method. Adv. Atmos. Sci. 13, 59–66 (1996). https://doi.org/10.1007/BF02657028
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DOI: https://doi.org/10.1007/BF02657028