The Global Bifurcation of Superlattice with Many Frequency Excitation

Shao Ming-zhu · Bandaoti guangdian · 2008

In the small amplitude approximation,the particle motion equation was simplified to the Duffing equation with a many frequency exitation by using sine-squared potential.The chaotic behaviour was analysed by Melnikov method.It shows that the sub-harmonic bifurcation and the super-sub-harmonic bifurcation are presented in the system,the chaos can be controlled by controlling the parameters of the system.The result provides a theoretical analysis for the study of the photo-magneto-electric effects of superlattice.

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