Abstract
We study chaotic dynamics of the quasiperiodically forced Duffing oscillator. We find that the mechanism for chaos is transverse homoclinic tori. Utilizing a generalization of a global perturbation technique of Melnikov we are able to give a criterion for the existence of chaos and we demonstrate the effect of the number of forcing frequencies on the region of chaos in parameter space. Our results give insight into the recent experimental results on the quasiperiodically forced Duffing oscillator obtained by Moon and Holmes.
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