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based Volterra filters chaotic time series multi-step forecast Author : bo, the Navy Engineering from the University of peer welcome exchanges and cooperation, more and download articles please visit my personal web page e-mail : luzhenbo@sina.com WEBSITE : luzhenbo.88uu.com.cn References : 1, and Zhang Shu. the chaotic time series Volterra adaptive prediction. physics reported .2000.03 2, Scott C. Douglas, H.-Y. Teresa Meng, Normalized Data for LMS Adaptation Nonlinearities. IEEE Trans.Sign.Proc . Timing 1994 document : 1, original_MultiStepPred_main.m procedures master file directly run this document can be 2, 3 original_train.m training function, the function tests original_test.m 4, LorenzData.dll have Lorenz five discrete sequence, a normalize_1.m naturalization of six, PhaSpaRecon.m