一维不连续分段光滑映射的加周期分岔
发布时间:2018-03-15 01:09
本文选题:分段光滑映射 切入点:周期轨 出处:《四川大学学报(自然科学版)》2017年04期 论文类型:期刊论文
【摘要】:本文讨论了一类一维不连续非线性分段光滑映射的动力学行为,得到了其不动点存在和稳定时参数应满足的条件,讨论了其形如Am-1 B的稳定m-周期轨(m≥2)的存在性,得到了此类周期轨存在及稳定时的参数条件,并进一步讨论了这些周期轨的倍周期分岔和鞍结点分岔现象.
[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,
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