一維不連續(xù)分段光滑映射的加周期分岔
發(fā)布時間:2018-03-15 01:09
本文選題:分段光滑映射 切入點:周期軌 出處:《四川大學學報(自然科學版)》2017年04期 論文類型:期刊論文
【摘要】:本文討論了一類一維不連續(xù)非線性分段光滑映射的動力學行為,得到了其不動點存在和穩(wěn)定時參數(shù)應滿足的條件,討論了其形如Am-1 B的穩(wěn)定m-周期軌(m≥2)的存在性,得到了此類周期軌存在及穩(wěn)定時的參數(shù)條件,并進一步討論了這些周期軌的倍周期分岔和鞍結點分岔現(xiàn)象.
[Abstract]:In this paper, the dynamical behavior of a class of one-dimensional discontinuous piecewise smooth mappings is discussed. The conditions for the existence of fixed points and the conditions for their parameters to be satisfied when they are stable are obtained, and the existence of the stable m- periodic orbit m 鈮,
本文編號:1613742
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