Chaotic Behaviour of Superlattice with Dual Frequency Excitation

Key words: 
• superlattice /
• channelling effect /
• Melnikov method /
• chaos

Abstract: It is assumed that a periodic modulation is equivalent to deflected channel of the superlattice. In the small amplitude approximation the particle motion equation is simplified to the Duffing equation with a hardspring properties by using sinesquared potential. The chaotic behaviour is 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 provided a theoretical analysis for the study of the photomagnetoelectric effects of superlattice.