The article explores how vibratory systems with impacts behave under different conditions. By analyzing the motions and maps of these systems, the researchers found that near a certain point, there are specific types of bifurcations (changes in behavior). They discovered that both single-impact and double-impact motions can undergo bifurcations, leading to interesting transitions in the system's behavior. The study also revealed the occurrence of torus doubling bifurcation, which changes the attractors of the system. This research sheds light on the complex dynamics of vibro-impact systems and how they can transition between different states.