Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation

J. A. Tenreiro Machado
2013 Abstract and Applied Analysis  
The paper formulates a genetic algorithm that evolves two types of objects in a plane. The fitness function promotes a relationship between the objects that is optimal when some kind of interface between them occurs. Furthermore, the algorithm adopts an hexagonal tessellation of the two-dimensional space for promoting an efficient method of the neighbour modelling. The genetic algorithm produces special patterns with resemblances to those revealed in percolation phenomena or in the symbiosis
more » ... nd in lichens. Besides the analysis of the spacial layout, a modelling of the time evolution is performed by adopting a distance measure and the modelling in the Fourier domain in the perspective of fractional calculus. The results reveal a consistent, and easy to interpret, set of model parameters for distinct operating conditions.
doi:10.1155/2013/739464 fatcat:oyhwbvvryfc7pn3ydnlw6d32lm