The equations of motion a rotor system mounted on journal bearings with non-linear characteristic are solved by high-precision analytical methods. A new technique has been developed for solving nonlinear differential systems bearings, taking into account nonlinearity reaction forces the lubricating layer. Algebraic were obtained that allow us to determine amplitudes oscillations and supports, c...

1. Differential-Difference Equations Dating back to the work of Fermi, Pasta, and Ulam in the 1950’s [2] differential-difference equations (DDEs) have been the focus of many nonlinear studies. A number of physically interesting problems can be modeled with nonlinear DDEs, including particle vibrations in lattices, currents in electrical networks, pulses in biological chains, etc. DDEs play impo...