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.


When the title frame appears in the browser window, clicking in the frame starts and stops the movie.



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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.