LAUSR

This paper presents a theoretical investigation of the presence of acceleration islands in the phase space of DKR systems, which can lead to superdiffusive behavior. We establish the conditions for the existence of period-one acceleration centers and subsequently calculate the stability conditions for both period one and period two acceleration islands. A detailed analysis of local and global diffusion in the vicinity of the islands and the stickiness regions is provided. It is demonstrated that the mean sticky time decays exponentially when the phase point is located in the interior of the island. Moreover, the phase point undergoes a power-law decay with a power equal to approximately 5 when entering the sticky region. These findings offer a foundation for future exploration of quantum dynamics in the DKR system.