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2k-H Planetary Gear Transmission System and its Largest Lyapunov Exponent

The nonlinear dynamic differential equation of 2K-H planetary gear transmission, which takes into consideration of clearance, is presented in this paper. Various Chaotic characteristics of the system are collected, such as the Largest Lyapunov Exponent and the phase locus. Experimental simulation is carried out and the periodic movement, quasi periodic movement and chaotic movement of the system are gotten under different parameters.