On a homoclinic origination of Hénon maps.

Hénon maps are called quadratic maps with constant Jacobian whose in-verse are quadratic again. Any two-dimensional quadratic map with constant Jacobian can be brought to the standard form x ̄ = y, y ̄ = M1 − Bx − y2, where M1 and B are parameters (B is the Jacobian). The main standard form for three-dimensional Hénon maps looks as [1, 2] x ̄ = y, y ̄ = z, z ̄ = M1 +