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Super-harmonic Resonance and Bifurcation of Duffing-van Der Pol System with Multi-Frequency Excitation |
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PP: 487-491 |
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Author(s) |
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Wei-Guo Zhao,
De-Hua Wei,
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Abstract |
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| In this paper the super-harmonic resonance of duffing-van der pol system is investigated, and the multi-scale method is
used to obtain the steady solutionthen the effects of all the parameters of the system on the amplitude-frequency curve are also
discussed. Finally, the numerical method is used to verify the accordance. The simulation results show amplitude-frequency curve has
the characteristic of pitchfork bifurcation in the turning point and all the bifurcation characteristics are obtained using the singularity
theory. The results cannot only be used to analysize the periodic solutions of similar systems, but can play a good role for the involved
nonlinear control. |
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