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In this paper we study dynamical systems generated by a gonosomal evolutionoperator of a bisexual population. We find explicitly all (uncountable set) offixed points of the operator. It is shown that each fixed point has eigenvaluesless or equal to 1. Moreover, we show that each trajectory converges to a fixedpoint, i.e. the operator is reqular. There are uncountable family of invariantsets each of which consisting unique fixed point. Thus there is one-to-onecorrespondence between such invariant sets and the set of fixed points. Anytrajectory started at a point of the invariant set converges to thecorresponding fixed point.

A Regular Gonosomal Evolution Operator with uncountable set of fixed points