Summary: This is a continuation of the paper [V. A. Malyshev, Mosc. Math. J. 12, No. 1, 139–147 (2012; Zbl 1257.82074)], which had two main results: 1) existence and uniqueness of the fixed point for general class of external forces, 2) asymptotics of distances between neighbors for constant force. Here we get the result similar to 2) but for the simplest piece-wise constant external force.