Chaos and Fractals (International Congress)

04 - About the Editor.pdf......Page 0
00 - Geometry and Nature.pdf......Page 9
01 - Chapter 1 - Chaos game visualization of sequences.pdf......Page 11
02 - Chapter 2 - Tumor growth simulation.pdf......Page 20
04 - Chapter 4 - Generating fractals from Voronoi diagrams.pdf......Page 28
05 - Chapter 5 - Circles which kiss A note on osculatory packing.pdf......Page 31
06 - Chapter 6 - Graphical identification of spatio-temporal chaos.pdf......Page 36
07 - Chapter 7 - Manifolds and control of chaotic systems.pdf......Page 38
08 - Chapter 8 - A vacation on mars—An artist's journey in a computer graphics world.pdf......Page 44
00 - Attractors.pdf......Page 49
01 - Chapter 9 - Automatic generation of strange attractors.pdf......Page 52
02 - Chapter 10 - Attractors with dueling symmetry.pdf......Page 60
03 - Chapter 11 - A new feature in Henon's map.pdf......Page 68
04 - Chapter 12 - Lyapunov exponents of the logistic map with periodic forcing.pdf......Page 71
05 - Chapter 13 - Toward a better understanding of fractality in nature.pdf......Page 77
06 - Chapter 14 - On the dynamics of real polynomials on the plane.pdf......Page 91
07 - Chapter 15 - Phase portraits for parametrically excited pendula An exercise in multidimensional data visualisation.pdf......Page 100
08 - Chapter 16 - Self-reference and paradox in two and three dimensions.pdf......Page 107
09 - Chapter 17 - Visualizing the effects of filtering chaotic signals.pdf......Page 111
10 - Chapter 18 - Oscillating iteration paths in neural networks learning.pdf......Page 117
11 - Chapter 19 - The crying of fractal batrachion.pdf......Page 122
12 - Chapter 20 - Evaluating pseudo-random number generators.pdf......Page 127
00 - Cellular Automata, Gaskets, and Koch Curves.pdf......Page 137
01 - Chapter 21 - Sensitivity in cellular automata. Some examples.pdf......Page 140
02 - Chapter 22 - One tub, eight blocks, twelve blinkers and other views of life.pdf......Page 145
03 - Chapter 23 - Scouts in hyperspace.pdf......Page 151
04 - Chapter 24 - Sierpinski fractals and GCDs.pdf......Page 159
05 - Chapter 25 - Complex patterns generated by next nearest neighbors cellular automata.pdf......Page 166
07 - Chapter 27 - A simple gasket derived from prime numbers.pdf......Page 178
08 - Chapter 28 - Discrete approximation of the Koch curve.pdf......Page 180
09 - Chapter 29 - Visualizing Cantor cheese construction.pdf......Page 188
10 - Chapter 30 - Notes on Pascal's pyramid for personal computer users.pdf......Page 193
11 - Chapter 31 - Patterns generated by logical operators.pdf......Page 202
00 - Mandelbrot, Julia and Other Complex Maps.pdf......Page 204
01 - Chapter 32 - A tutorial on efficient computer graphic representations of the Mandelbrot set.pdf......Page 207
02 - Chapter 33 - Julia sets in the quaternions.pdf......Page 217
03 - Chapter 34 - Self-similar sequences and chaos from Gauss sums.pdf......Page 229
04 - Chapter 35 - Color maps generated by trigonometric iteration loops.pdf......Page 233
05 - Chapter 36 - A note on Halley's method.pdf......Page 235
06 - Chapter 37 - A note on some internal structures of the Mandelbrot Set.pdf......Page 237
07 - Chapter 38 - The method of secants.pdf......Page 240
08 - Chapter 39 - A generalized Mandelbrot set and the role of critical points.pdf......Page 244
09 - Chapter 40 - A new scaling along the spike of the Mandelbrot set.pdf......Page 250
10 - Chapter 41 - Further insights into Halley's method.pdf......Page 262
11 - Chapter 42 - Visualizing the dynamics of the Rayleigh Quotient Iteration.pdf......Page 264
12 - Chapter 43 - The burning ship and its quasi-Julia sets.pdf......Page 268
13 - Chapter 44 - Field lines in the Mandelbrot Set.pdf......Page 272
15 - Chapter 46 - Image generation by Blaschke products in the unit disk.pdf......Page 281
16 - Chapter 47 - An investigation of fraclas generated by.pdf......Page 287
17 - Chapter 48 - Infinite-corner-point fractal image generation by Newton's method for solving.pdf......Page 292
18 - Chapter 49 - Chaos and elliptic curves.pdf......Page 299
19 - Chapter 50 - Newton's method for multiple roots.pdf......Page 304
20 - Chapter 51 - Warped midgets in the Mandelbrot set.pdf......Page 307
21 - Chapter 52 - Automatic generation of general quadratic map basins.pdf......Page 317
00 - Iterated Function Systems.pdf......Page 322
01 - Chapter 53 - Some nonlinear iterated function systems.pdf......Page 325
02 - Chapter 54 - Balancing order and chaos in image generation.pdf......Page 332
03 - Chapter 55 - Estimating the spatial extent of attractors of Iterated Function Systems.pdf......Page 354
04 - Chapter 56 - Automatic generation of iterated function systems.pdf......Page 362
05 - Chapter 57 - Modeling and rendering of nonlinear iterated function systems.pdf......Page 371
00 - Computer Art.pdf......Page 381
01 - Chapter 58 - Automatic parallel generation of aeolian fractals on the IBM power visualization system.pdf......Page 383
02 - Chapter 59 - Julia set ART and dractals in the complex plane.pdf......Page 393
03 - Chapter 60 - Methods of displaying the behaviour of the mapping z to z2+mu.pdf......Page 397
04 - Chapter 61 - Autumn—A recipe for artistic fractal images.pdf......Page 400
05 - Chapter 62 - Biomorphic mitosis.pdf......Page 402
06 - Chapter 63 - Computer art representing the behavior of the Newton-Raphson method.pdf......Page 403
07 - Chapter 63 - Computer art representing the behavior of the Newton-Raphson method.pdf......Page 405
08 - Chapter 65 - Computer art from Newton's, Ssecant, and Richardson's methods.pdf......Page 407