## Differential and Integral Equations

### Quasi-periodic solutions of a damped reversible oscillator at resonance

#### Abstract

We prove the existence of quasi-periodic solutions and of Aubry-Mather sets for a resonant reversible equation of the form $x^{\prime\prime} + ax^+ - bx^- +\varphi(x) +f(x,x',t)= p(t)$; the functions $p$ and $f$ are $2\pi$-periodic in $t$ and the perturbation $\varphi$ is bounded.

#### Article information

Source
Differential Integral Equations, Volume 22, Number 9/10 (2009), 1033-1046.

Dates
First available in Project Euclid: 20 December 2012