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ID 114911
Author
Keywords
directional coloring
chaos
invariant pattern
fractal
Content Type
Journal Article
Description
We propose a visualization method called the directional coloring for chaotic attractors in planer discrete systems. A color in the hue circle is assigned to the argument determined by the current point and its n-th mapped point. Some unstable n-periodic points embedded in the chaotic attractor become visible as radiation points and they can be accurately detected by combination of this coloring and the Newton's method. For a chaotic attractor in a non-invertible map, we find out invariant patterns around the fixed point and detect its nearest unstable n-periodic point. The computed results of their locations show a fractal property of the system.
Journal Title
Nonlinear Theory and Its Applications, IEICE
ISSN
21854106
Publisher
The Institute of Electronics, Information and Communication Engineers
Volume
3
Issue
4
Start Page
497
End Page
507
Published Date
2012-10-01
Rights
© IEICE 2012
EDB ID
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Center for Administration of Information Technology