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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 7 > No. 2L


Super-harmonic Resonance and Bifurcation of Duffing-van Der Pol System with Multi-Frequency Excitation

PP: 487-491
Wei-Guo Zhao, De-Hua Wei,
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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