JUST PLANE CHAOS
Movies for the book
Chaos in Discrete Dynamical Systems
Each movie has a mono sound track and is presented in two formats: an AVI file for Windows, and a MOV file for QuickTime (for Macintosh or Windows). There is a total of 13 minutes and 20 seconds of video, if played at full speed.
Hint:
When the title frame appears in the browser window, clicking in the frame
starts and stops the movie.
CONTENTS
Movies:
- Movie 4-1: Ch. 4, full sequence of 7 stages.
This is the full sequence described in Ch. 4, Absorbing Areas, MQ family with a = +0.7, b decreasing from -0.4 to -1.0, through all 7 stages in 60 seconds.
AVI /
MOV
- Movie 4-2: Ch. 4, 20X zoom of stage 6.
A 20X parameter zoom with b decreasing from -0.79 to -0.81, expanding stage 6 in 40 seconds.
AVI /
MOV
- Movie 4-3: Ch. 4, 200X zoom of stage 7.
A 200X parameter zoom with b decreasing from -0.974 to -0.976, expanding stage 7 in 40 seconds.
AVI /
MOV
- Movie 5-1 : Ch. 5, full sequence of 11 stages.
This is the full sequence described in Ch. 5, Holes, MQ family with a = +1.0, b decreasing from -0.593 to -0.599, through all 11 stages in 60 seconds.
AVI /
MOV
- Movie 5-2: Ch. 5, 10X zoom of stages 2 through 5.
A 10X parameter zoom with b decreasing from -0.594 to -0.596, expanding stages 2, 3, 4, and 5 in 40 seconds.
AVI /
MOV
- Movie 5-3: Ch. 5, 10X zoom of stages 8, 9, 10.
A 10X parameter zoom with b decreasing from -0.5980 to -0.5984, expanding stages 8, 9, and 10 in 40 seconds.
AVI /
MOV
- Movie 6-1 : Ch. 6, full sequence of 12 stages.
This is the full sequence described in Ch. 6, Fractal Boundaries, MQ family with a = -1.5, b decreasing from -1.5 to -2.2, through all 12 stages in 70 seconds.
AVI /
MOV
- Movie 6-2: Ch. 6, 10X zoom of stages 5, 6, 7.
A 10X parameter zoom with b decreasing from -1.95 to -1.99, expanding stages 5, 6, and 7 in 40 seconds.
AVI /
MOV
- Movie 6-3: Ch. 6, 20X zoom of stages 8 through 12.
A 20X parameter zoom with b decreasing from -2.090 to -2.115, expanding stages 8 through 12 in 50 seconds.
AVI /
MOV
- Movie 7-1 : Ch. 7, Full sequence of 12 stages.
This is the full sequence described in Ch. 7, Chaotic Contact Bifurcations, double logistic family with b increasing from +0.64 to +0.74, through all 12 stages in 50 seconds.
AVI /
MOV
- Movie 7-2: Ch. 7, 20X zoom of stages 1 through 7.
A 20X parameter zoom with b increasing from +0.640 to +0.645, expanding stages 1 through 7 in 50 seconds.
AVI /
MOV
- Movie 7-3: Ch. 7, 20X zoom of stages 8, 9, 10.
A 20X parameter zoom with b increasing from +0.7015 to +0.7035, expanding stages 8, 9, and 10 in 40 seconds.
AVI /
MOV
Additional material:
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Color code
The color bar on the right of the movies gives the color code for the density of points along a trajectory. The blue (low density) usually indicates a chaotic transient, part of an absorbing area, while the red (high density) reveals an attractor. The black usually indicates the basin of infinity, while the gray region is the basin of the red attractor.
Program Notes
These movies were computed frame by frame on a Silicon Graphics Iris Indigo, loaned by Peter Broadwell. The machine cranked away day and night for six months in the process.
The individual frames were compiled into movies using Adobe Premiere, with 320 by 240 pixel resolution at 10 frames per second, on a 90 MHz Pentium under Windows NT.
The voice comments were recorded on a NeXT Cube, using a Shure SM58 microphone and
DBX 286 Microphone Processor, digitized by a
Singular Solutions A/D64x, at 44.1K by 16 bit resolution, then converted to 22k by 16 bit and processed with Syntrillium Cool on the Windows machine.
CD recording was done by CDR HyCD software with a Yamaha 2X recorder.