Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900036 | Journal of Mathematical Analysis and Applications | 2018 | 25 Pages |
Abstract
In this paper we are concerned with the boundedness of all solutions for the forced isochronous oscillatorxâ³+Vâ²(x)+g(x)=f(t), where V is a so-called T-isochronous potential, the perturbation g is assumed to be bounded, and the 2Ï-periodic function f(t) is smooth. Using the resonant small twist theorem and averaged small twist theorem established by Ortega, we will prove the boundedness of all solutions for the above forced isochronous oscillator in the resonant and non-resonant cases under some reasonable assumptions, respectively.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiong Li, Shasha Jin,