Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane

被引：0

作者：

Fonda, Alessandro ^{[1
]}

Toader, Rodica ^{[2
]}

机构：

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

[2] Univ Udine, I-33100 Udine, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2012年 / 12卷 / 02期

关键词：

Pendulum equation; Poincare-Birkhoff theorem; nonlinear dynamics; STRONGLY INDEFINITE FUNCTIONALS; POINCARE-BIRKHOFF THEOREM; BOUNDARY-VALUE-PROBLEMS; FIXED-POINT THEOREM; EQUATIONS; INVARIANT; TORI;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By the use of a generalized version of the Poincare-Birkhoff fixed point theorem, we prove the existence of at least two periodic solutions for a class of Hamiltonian systems in the plane, having in mind the forced pendulum equation as a particular case. Our approach is closely related to the one used by Franks in [15], but the proof remains at a more elementary level.

引用

页码：395 / 408

页数：14

共 37 条

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