Generalized J Sets Based on Periodic Orbit and Attract Time

Abstract

The paper introduces escape-time algorithm applied to construct G-J set firstly, and two methods are presented for generating a great diversity of generalized J sets in which the point fall in low-cycle attract collections in the domain. One of the coloring methods is according to attract time, another is by recording the domain of the orbits. We used frieze group map to validate effectiveness for algorithm.