Abstract: a new chaotic mapping is given. An analytic expression and a few figures of the new chaotic mapping-meshy mapping are presented. A Comparison between the new chaos mapping and the classical Logistic mapping, Mandness curve and some abstractors coming from neural net is made. The behavior of the meshy mapping is analyzed from the viewpoint of graphics. A few illustrations are given. The most important significance of this discovery is that an approximate periodic is constructed by an aperiodic mapping. Otherwise, the result of this research is significant in its application and reference value in simulation of propagation and creating of fractal art. Moreover, it proposes a new approach for the research on chaos dynamics.
Keywords: chaos; Logistic mapping; fractal; Nonlinear systems
