Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane-Reference-Cited by-同舟云学术

Periodic Solutions of Pendulum-Like Hamiltonian Systems in the Plane

Published:2012-05-01 Issue:2 Volume:12 Page:395-408
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Fonda Alessandro¹,Toader Rodica²

Affiliation:

1. Università degli Studi di Trieste P.le Europa 1, Trieste, I-34127 Italy

2. Università degli Studi di Udine Via delle Scienze 208, Udine, I-33100 Italy

Abstract

Abstract By the use of a generalized version of the Poincaré-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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2012-0210/pdf

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