关于“Structure　of　the　set　of　periods　for　the　Lorenz　map”一文的注记

A NOTE ON STRUCTURE OF THE SET OFPERIODS FOR THE LORENZ MAP

在“ＳｔｒｕｃｔｕｒｅｏｆｔｈｅｓｅｔｏｆＰｅｏｒｉｄｓｆｏｒｔｈｅＬｏｒｅｎｚｍａｐ”一文中，ＪＬｌｉｂｒｅ得到了，对于Ｌｏｒｅｎｚ映射，著名的Ｓａｒｋｏｖｓｋｉｉ定理仍然成立．即若ｎ∈Ｐ（ｆ）且ｎ＞＞ｋ（ｋ＞１），则ｋ∈Ｐ（ｆ）．然而，ＪＬｌｉｂｒｅ的文中该结论的主要依据有部分错误．本文改正了这些错误，给出了一些引理，并由此证明该结论仍然成立．

J. Llibre obtained that the famous Sarkovskiis theorem is still true for Lorenz map.It is that if n∈p(f),N>>k(k>1) then k ∈P(f).But,the main evidence of this conclu sion in J. Llibre's paper has partial error.In this paper,we correct this error,give a series of lemmas and prove this conclusion is true.