Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators

被引：77

作者：

Nordmark, AB ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Mech, SE-10044 Stockholm, Sweden

来源：

NONLINEARITY | 2001年 / 14卷 / 06期

关键词：

D O I：

10.1088/0951-7715/14/6/306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Grazing bifurcations are local bifurcations that can occur in dynamical models of impacting mechanical systems. The motion resulting from a grazing bifurcation can be complex. In this paper we discuss the creation of periodic orbits associated with grazing bifurcations, and we give sufficient conditions for the existence of a such a family of orbits. We also give a numerical example for an impacting system with one degree of freedom.

引用

页码：1517 / 1542

页数：26

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