New periodic recurrences with applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:382

Article

Cima, Anna¹  Gasull, Armengol¹  Manosas, Francesc¹ 

[1] Univ Autonoma Barcelona, Dept Matemat, Fac Ciencies, E-08193 Barcelona, Spain

关键词: Globally periodic difference equations;    Recurrences;    Involutions;    Centers;    Isochronous potential systems;   

DOI  :  10.1016/j.jmaa.2011.04.059

来源: Elsevier

【 摘 要 】

We develop two methods for constructing several new and explicit m-periodic difference equations. Then we apply our results to two different problems. Firstly we show that two simple natural conditions appearing in the literature are not necessary conditions for the global periodicity of the difference equations. Secondly we present the first explicit nonlinear analytic potential differential system having a global isochronous center. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free