Nonlinear adaptive multi-step-prediction of chaotic time series based on points  in the neighborhood

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Abstract
In this paper a class of nonlinear adaptive multi-step-prediction algorithm base d on the manifold theory was proposed. We have performed the multi-step-predicti on by exploiting images of P-step iterations of several nearest neighbors with t his method. The simulation indicated that this method was available and could im prove the prediction speed, and that the series of the standard deviation of err or after prediction has an exponential growth ratio that is the largest Lyapunov exponent.

Keywords:
chaotic time series /

neighborhood /

nonlinear adaptive prediction /

Lyapunov exponent
Authors and contacts
Gan Jian-Chao²,

Xiao Xian-Ci¹

(1)电子科技大学电子工程学院,成都 610054; (2)电子科技大学电子工程学院,成都 610054;电子对抗国防科技重点实验室，成都 610036
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