Research on Non-linear Dynamic Systems Employing Color Space Li Shujun, Wang Peng, Mu Xuanqin, Cai Yuanlong Image Processing Center of Xi

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Research on Non-linear Dynamic Systems Employing
Color Space Li Shujun, Wang Peng, Mu Xuanqin,
Cai YuanlongImage Processing Center of Xian
Jiaotong Univ., Xi'an, P. R.C.,
710049hooklee_at_263.net, pandaw_at_263.net
1. Introduction 2. How to express fractal and
chaos employing color space? 3. Some Instances
of research on fractal sets and chaos system
using color space 4. Conclusion and Summary
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1. Introduction

• Non-linear science, dynamics, fractal and chaos

• Color theory and color space

2. How to express fractal and chaos employing
color space?
CIExy 1931 Chromaticity Diagram
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3. Some Instances of research on fractal sets and
chaos system using color space

• Compound Dynamic Iterative System Mandelbrot
  Julia Set

• Two-dimensional Poincaré Section Plane Hénon
  Trajectory as Example

• One-dimensional chaotic system-Logistic mapping

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Compound Dynamic Iterative System Mandelbrot
Julia Set
Figure-1 RGB Chromaticity Circle
Figure-2 Mandelbrot Set(n100 )
Figure-3 Local Mandelbrot Set
Figure-4 Bifurcation Figure of Mandelbrot
Set 3-period Series Local Part (0.25,0) to
(-1.4,0)
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Compound Dynamic Iterative System Mandelbrot
Julia Set (2)
Figure-5 Six Julia Connective Set Figures Obtained
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Two-dimension Poincaré Section Plane Hénon
Trajectory
Figure-6 the Poincaré section of Hénon trajectory
and its local part
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One-dimensional chaos system-Logistic mapping
Figure-7 Logistic mapping interation figure
Figure-9 Logistic mapping interation figure
Figure-8 Bifurcation figure x0.5,r04( from
Figure-7)
Figure-10 Bifurcation figure x0.54,r3.313.86(
from Figure-9)