▎ 摘　　要

It is well-known that the asymmetry has dramatic effects on the properties of graphene. Therefore, here, a systematic study is presented to describe the effect of asymmetry on the Floquet oscillations in graphene. Even in the absence of external electromagnetic field, some kind of oscillations is predicted due to asymmetry. In pump-probe spectra, it is found that the amplitude of Floquet oscillations decreases in the presence of asymmetry in the graphene, however, the frequency of these oscillations increases. Moreover, the collapse and revival times are affected significantly due to asymmetry in graphene. The Bloch-Siegert shift is studied in the perspective of Floquet oscillation, called Floquet-Bloch-Siegert shift. A numerical simulation is performed to justify the role of asymmetry on Floquet oscillation in graphene.