Periodic Bouncing Solutions for Nonlinear Impact Oscillators

被引：3

作者：

Fonda, Alessandro ^{[1
]}

Sfecci, Andrea ^{[2
]}

机构：

[1] Univ Trieste, I-34127 Trieste, Italy

[2] SISSA Int Sch Adv Studies, I-34136 Trieste, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2013年 / 13卷 / 01期

关键词：

Periodic solutions; impact oscillators; nonlinear boundary value problems; INVARIANT TORI; DYNAMICS; MOTIONS; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a periodic solution to a nonlinear impact oscillator, whose restoring force has an asymptotically linear behavior. To this aim, after regularizing the problem, we use phase-plane analysis, and apply the Poincare-Bohl fixed point Theorem to the associated Poincare map, so to find a periodic solution of the regularized problem. Passing to the limit, we eventually find the "bouncing solution" we are looking for.

引用

页码：179 / 189

页数：11

共 22 条

[1]

[Anonymous], B UMI

[2] Periodic motions of an impact oscillator [J].