Real one parameter family of volume preserving complex Hénon maps is studied.
Cycle of neutral periodic points bifurcates from a parabolic fixed point. Cases of periods 3 and 4 are computed directly.
In the area preserving real Hénon maps, potential analysis and numerical evidences suggests that a pair of a cycle of saddle type and a cycle of center type appears from a parabolic fixed point.
Neutral periodic cycles are observed as so-called "islands" between KAM circles around a neutral fixed points.
The appearance of pair of periodic orbits of center type and saddle type is rigorously proved for period 5 cases.