Abstract：Cascades of subharmonics and their stability for high-dimensional strongly nonlinear vibration isolation system were studied by combining the harmonic balance method and the predictor–corrector method. The amplitude-frequency curves of every level subharmonic were plotted. Two routes of bifurcation were analyzed and the boundaries of the period-doubling bifurcations were obtained through the stability analysis, and then, the parameter regions of chaos were estimated. The results are almost the same as those obtained by numerical simulations.
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