SELF-REPLICATING SEQUENCES OF BINARY-NUMBERS

An algorithm is proposed which allows sequences of binary numbers to interact. We introduce a two-dimensional matrix form of the sequences achieved by a general folding method. Interactions between one- and two-dimensional forms of binary sequences generate new sequences, which compete with the original ones due to selection pressure. Starting from random initial populations, replicating and self-replicating sequences are generated in large numbers. We report on results for four-digit sequences and propose nonlinear differential equations modelling the system.