四川大学学报（自然科学版）2017，Vol.54Issue(4)：698-702,5.DOI:10.3969/j.issn.0490-6756.2017.04.006
一维不连续分段光滑映射的加周期分岔
Period-adding bifurcations in one-dimensional discontinuous piecewise smooth maps
摘要
Abstract
In this paper,we consider the dynamics of a class of one-dimensional discontinuous nonlinear maps.We obtain the existence and stability conditions of fixed points in the parameter space.Then we study the existence and stability of period-m orbit of type Am-1B.Analytical conditions for the existence and stability of the periodic orbits are found.The period doubling and saddle-node bifurcations of the orbits are also considered.关键词
分段光滑映射/周期轨/分岔Key words
Piecewise smooth system/Periodic orbit/Bifurcation分类
数理科学引用本文复制引用
张鑫..一维不连续分段光滑映射的加周期分岔[J].四川大学学报（自然科学版）,2017,54(4):698-702,5.基金项目
国家自然科学基金(11371264) （11371264）
