New classes of polynomial maps satisfying the real jacobian conjecture in R²

We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ². The first class is formed by the polynomials maps of the form (q(x) – p(y),q(y) + p(x)): ℝ² → ℝ² such that p and q are real polynomials satisfying p^′ (x)q^′ (x) ≠ 0. The second class is formed by polynomials maps (f,g): ℝ² → ℝ² where f and g are real homogeneous polynomials of the same arbitrary degree satisfying some conditions.