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GM(1,1) grey prediction of Lorenz chaotic system

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  • Zhang, Yagang
  • Xu, Yan
  • Wang, Zengping

Abstract

The grey prediction of Lorenz chaotic system will be discussed carefully in this paper. We are mainly using GM(1,1) model to predict data sequences, and the usual prediction precision has exceeded 90%. In the symbolic prediction of Lorenz chaotic dynamical system, the precision of grey prediction certainly will decrease as the length of symbolic sequence is increasing. But in this place we have found a generating rule that may realize chaotic synchronization at least in a short and medium term, and we can analysis and predict in this way.

Suggested Citation

  • Zhang, Yagang & Xu, Yan & Wang, Zengping, 2009. "GM(1,1) grey prediction of Lorenz chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1003-1009.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1003-1009
    DOI: 10.1016/j.chaos.2009.02.031
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    1. Akay, Diyar & Atak, Mehmet, 2007. "Grey prediction with rolling mechanism for electricity demand forecasting of Turkey," Energy, Elsevier, vol. 32(9), pages 1670-1675.
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