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1. Introduction 2. How to express fractal and chaos employing color space?

Research on Non-linear Dynamic Systems Employing Color Space Li Shujun, Wang Peng, Mu Xuanqin, Cai Yuanlong Image Processing Center of Xi’an Jiaotong Univ., Xi'an, P. R.C., 710049 hooklee@263.net , pandaw@263.net. 1. Introduction 2. How to express fractal and chaos employing color space?

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1. Introduction 2. How to express fractal and chaos employing color space?

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  1. Research on Non-linear Dynamic Systems Employing Color SpaceLi Shujun, Wang Peng, Mu Xuanqin, Cai YuanlongImage Processing Center of Xi’an Jiaotong Univ., Xi'an, P. R.C., 710049hooklee@263.net, pandaw@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

  2. 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

  3. 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

  4. Compound Dynamic Iterative System –Mandelbrot & Julia Set Figure-1 RGB Chromaticity Circle Figure-2 Mandelbrot Set(n=100 ) Figure-3 Local Mandelbrot Set Figure-4 Bifurcation Figure of Mandelbrot Set 3-period Series Local Part (0.25,0) to (-1.4,0)

  5. Compound Dynamic Iterative System –Mandelbrot & Julia Set (2) Figure-5 Six Julia Connective Set Figures Obtained

  6. Two-dimension Poincaré Section Plane –Hénon Trajectory Figure-6 the Poincaré section of Hénon trajectory and its local part

  7. One-dimensional chaos system-Logistic mapping Figure-7 Logistic mapping interation figure Figure-9 Logistic mapping interation figure Figure-8 Bifurcation figure x=0.5,r=0~4( from Figure-7) Figure-10 Bifurcation figure x=0.54,r=3.31~3.86( from Figure-9)

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