Reciprocally induced coevolution: A computational metaphor in Mathematics

摘要: Natural phenomenon of coevolution is the reciprocally induced evolutionary change between two or more species population. Though this biological occurrence a natural fact, there are only few attempts to use as simile in computation. This paper an attempt introduce mechanism counter problems faced by typical genetic algorithm applied optimization technique. The domain selected for testing efficacy procedure process finding numerical solutions Diophantine equations. equations polynomial Mathematics where integer sought. Such and its significant three aspects-(i) historically they important Hilbert's tenth problem with background than twenty six centuries; (ii) many modern application areas like public key cryptography data dependency super computers (iii) it has been proved that does not exist any general method find such proposed tested different powers number variables.