Minimal sets in monotone and sublinear skew-product semiflows II: Two-dimensional systems of differential equations

Monotone and sublinear skew-product semiflows defined from recurrent non-autonomous differential equations of ordinary, finite-delay and reaction–diffusion types are analyzed. A complete description of all the minimal sets is provided, and the optimality of the results is shown by means of suitable examples. Some significative differences with the autonomous case are established.