Abstract
It is found that the relationship the detection function and collision function of non smooth point by using MÜLLER algorithm, and launched the conversion between the different states of gear system of the offset vector. So the unified algorithm of maximal Lyapunov exponent of non smooth gear system is obtained. An example is given to verified this method. The validities of algorithm for largest Lyapunov exponent of gear power systems is proved by comparing the the largest Lyapunov, system phase and Poincaré section.
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