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Preliminary study of reconstruction of a dynamic system using an one–dimensional time series

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Abstract

This paper concerns the reconstruction of a dynamic system based on phase space continuation of monthly mean temperature 1D time series and the assumption that the equation for the time-varying evolution of phase-space state variables contains linear and nonlinear quadratic terms, followed by the fitting of the dataset subjected to continuation so as to get, by the least square method, the coefficients of the terms, of which those of greater variance contribution are retained for use. Results show that the obtained low-order system may be used to describe nonlinear properties of the short range climate variation shown by monthly mean temperature series.

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Yongqing, P., Yufeng, Z. & Shaojin, Y. Preliminary study of reconstruction of a dynamic system using an one–dimensional time series. Adv. Atmos. Sci. 11, 277–284 (1994). https://doi.org/10.1007/BF02658146

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  • DOI: https://doi.org/10.1007/BF02658146

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