Collaboration of the radial basis ART and PSO in multi-solution problems of the hénon map

Abstract

This paper studies collaboration of the ART and PSO in application to a multi-solution problem for analysis of the Hénon map. In our algorithm, the PSO gives candidates of solutions which have no labels. Applying the candidates as inputs, the ART classifies the candidates, labels the categories, and clarify the number of solutions. Performing fundamental numerical experiments, the algorithm efficiency is investigated.