Abstract
By introducing nonlinear freqyency, using Floquet theory and referring to the characteristics of the solution when it passes through the transition boundaries, all kinds of bifurcation modes and their transition boundaries of Duffing equation with two periodic excitations as well as the possible ways to chaos are studied in this paper.
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Project supported by the National Natural Science Foundation and Doctor Point Foundation of China
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Qinsheng, B., Yushu, C. & Zhiqiang, W. Bifurcation in a nonlinear duffing system with multi-frequency external periodic forces. Appl Math Mech 19, 121–128 (1998). https://doi.org/10.1007/BF02457679
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DOI: https://doi.org/10.1007/BF02457679