Abstract:
An effective algebraic criterion is obtained for a quadratic evolutionary operator to belong to the class of solutions of the Bernstein problem [Yu. I. Lyubich, Usp. Mat. Nauk, 26, No. 5, 51–116 (1971)] that admit a genetic interpretation [Yu. I. Lyubich, Genetika, 9, No. 10, 139–144 (1973)].