@misc{10481/76431,
year = {2022},
month = {7},
url = {http://hdl.handle.net/10481/76431},
abstract = {We study the oscillator ¨x + n2x + h(x) = p(t), where h is a
piecewise linear saturation function and p is a continuous 2π-periodic
forcing. It is shown that there is recurrence if and only if p satisfies the
Lazer–Leach condition. This condition relates the n-th Fourier coefficient
of p(t) with the maximum of h and was first introduced to characterize
the existence of periodic solutions.},
organization = {German Research Foundation (DFG)	SF-B/TRR 191},
publisher = {Birkhäuser},
title = {Recurrent Motions in a Piecewise Linear Oscillator},
doi = {10.1007/s00023-022-01217-6},
author = {Ortega Ríos, Rafael},
}