Dynamical Behaviors of a Four-Wheel-Steering System under the Sense of Mean Value

Abstract

In this paper, we establish a mathematical model on four-wheel-steering system subjected to white noise excitations and analyze the dynamical behaviors of the system under the sense of mean value. We calculate the Lyapunov exponents and estimate Lyapunov dimensions of the system. The results obtained demonstrate the existence of quasi-periodic orbit, and the simulations certify the conclusion of analysis. All the results showed that the four-wheel-steering system subjected to white noise excitations with weak intensity will move nearly steadily companied with tiny perturbation at not too high driving speeds.