Abstract: Type V intermittency is found to exist widely in a kind of two-dimensional maps with a background of impact oscillators. It has two characteristics. Firstly, the prelude phase-locking staircase to type V intermittency before entering chaos includes the traditional-like and multiple-like devil's staircase structures; secondly, the chaotic attractor appearing after the staircase is always the end-results of the image set of the discontinuous borderline.

Key words: periodic orbit, chaotic attractor, type V intermittency, impact oscillator