Recurrent Motions in a Piecewise Linear Oscillator Ortega Ríos, Rafael 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. 2022-07-29T10:40:42Z 2022-07-29T10:40:42Z 2022-07-11 info:eu-repo/semantics/article Ortega, R., Schliessauf, H. Recurrent Motions in a Piecewise Linear Oscillator. Ann. Henri Poincaré (2022). [https://doi.org/10.1007/s00023-022-01217-6] http://hdl.handle.net/10481/76431 10.1007/s00023-022-01217-6 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional Birkhäuser