Periodic Orbits of Radially Symmetric Systems with a Singularity: the Repulsive Case-Reference-Cited by-同舟云学术

Periodic Orbits of Radially Symmetric Systems with a Singularity: the Repulsive Case

Published:2011-11-01 Issue:4 Volume:11 Page:853-874
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 We study radially symmetric systems with a singularity of repulsive type. In the presence of a radially symmetric periodic forcing, we show the existence of three distinct families of subharmonic solutions: One oscillates radially, one rotates around the origin with small angular momentum, and the third one with both large angular momentum and large amplitude. The proofs are carried out by the use of topological degree theory.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2011-0405/pdf

Reference15 articles.

1. On forced dynamical systems with a singularity of repulsive type Nonlinear;Solimini;Anal,1990

2. Periodic solutions of some Lie nard equations with singularities;Habets;Proc Amer Math Soc,1990

3. Continuation theorems for Ambrosetti - Prodi type periodic problems;Mawhin;Commun Contemp Math,2000

4. a Periodic subharmonic and quasi - periodic oscillations under the action of a central force Discrete;Fonda;Contin Dyn Syst,2011

5. On periodic solutions of nonlinear diﬀerential equations with singularities;Lazer;Proc Amer Math Soc,1987

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