Summary
International Symposium on Nonlinear Theory and its Applications
2009
Session Number:B3L-A
Session:
Number:B3L-A2
A Structual Detection of Unstable Periodic Points in Chaotic Attractors by the Directional Coloring
Kei Nagao, Tetsushi Ueta,
pp.-
Publication Date:2009/10/18
Online ISSN:2188-5079
Summary:
We propose an application of the visualization method called directional coloring by using mapping direction of the difference equation. An invariant pattern can be detected for a given chaotic attractor with this coloring. Unstable periodic points(UPPs) are visualized as a crossing points of different colors and these locations are determined by the pattern. With this property and thanks to Newton’s mehtod, we can compute UPPs systematically and accurately. We show numerical results and their fractal nature.