Periodic motions of linear impact oscillators via the successor map

被引：59

作者：

Qian, DB ^{[1
]}

Torres, PJ

机构：

[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

[2] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 36卷 / 06期

关键词：

impact oscillator; Hill's equation; periodic solution; successor map; Poincare-Birkhoff twist theorem;

D O I：

10.1137/S003614100343771X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence and multiplicity of nontrivial periodic bouncing solutions for linear and asymptotically linear impact oscillators by applying a generalized version of the Poincare-Birkhoff theorem to an adequate Poincare section called the successor map. The main theorem includes a generalization of a related result by Bonheure and Fabry and provides a sufficient condition for the existence of periodic bouncing solutions for Hill's equation with obstacle at x not equal 0.

引用

页码：1707 / 1725

页数：19

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