Abstract
Our numerical studies have already shown the existence of chaotic motion in one and two degrees of freedom gear systems. In a previous paper, we used a Poincare map and FFT analysis to characterize the chaotic motion, showing that FFT analysis is effective for this purpose. However, it later became apparent that FFT analysis sometimes fails to identify different chaotic motions under certain conditions. In another previous paper, we attempted to apply the theory of statistical mechanics, developed by Tomita et al., to the identification of the chaos, and proposed an effective method which is based only on the observed time series of the chaos. The results showed that our proposed method is effective in a Duffing system and a parametrically forced pendulum system. This paper examines, based on our method, a gear system including backlash. The results show that our method can identify two types of the chaotic motions occurring in the gear system.
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