Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force

被引：4
|
作者：
Calamai, Alessandro [1 ]
Pera, Maria Patrizia [2 ]
Spadini, Marco [2 ]
机构：
[1] Univ Politecn Marche, Dipartimento Ingn Civile Edile & Architettura, Via Brecce Bianche, I-60131 Ancona, Italy
[2] Univ Florence, Dipartimento Matemat & Informat U Dini, Via Santa Marta 3, I-50139 Florence, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 151卷
关键词：
Retarded functional differential equations; Multiplicity of periodic solutions; Forced motion on manifolds; Degree of a tangent vector field; DIFFERENTIAL-EQUATIONS; SYSTEMS; ODES;
D O I：
10.1016/j.na.2016.12.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a multiplicity result for forced oscillations of a spherical pendulum (that is, a massive point moving on a sphere) subject to a periodic action, with or without friction, allowed to depend on the whole past of the motion. The approach is based on topological methods. In particular, when the unperturbed forcing term is the gravity, we obtain two harmonic forced oscillations regardless of the presence of friction and of the form of the perturbing force field. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：252 / 264
页数：13
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