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-XLYAP(6X) XLYAP(6X)
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-N\bNA\bAM\bME\bE
- xlyap - display an array of Lyapunov exponents graphically
-
-S\bSY\bYN\bNO\bOP\bPS\bSI\bIS\bS
- _\bx_\bl_\by_\ba_\bp [-BLps][-W width][-H height][-o filename][-a _\bn ] [-b
- _\bn ] [-w _\bn ] [-h _\bn ] [-i xstart] [-M _\bn ] [-R _\bp ]
- [-S _\bn ] [-D _\bn ] [-F string][-f string][-r _\bn ] [-O
- _\bn ] [-C _\bn ] [-c _\bn ] [-m _\bn ] [-x xpos] [-y ypos]
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-D\bDE\bES\bSC\bCR\bRI\bIP\bPT\bTI\bIO\bON\bN
- _\bx_\bl_\by_\ba_\bp generates and graphically displays an array of Lya-
- punov exponents for a variety of iterated periodically
- forced non-linear maps of the unit interval.
-
-O\bOP\bPT\bTI\bIO\bON\bNS\bS
- -random A good choice for use with xscreensaver: picks
- random parameters from a built-in list.
-
- -C _\bn Specifies the minimum color index to be used for
- negative exponents
-
- -D _\bn Specifies the "dwell" or number of iterations over
- which to average in order to calculate the Lya-
- punov exponent. Default is 400.
-
- -B Causes the stop, go, spin and quit buttons to be
- displayed.
-
- -H _\bn Specifies the height of the window. Default is
- 256.
-
- -L Indicates use log(x) + log(y) rather than log(xy).
-
- -M _\br Specifies the real value to compare exponent val-
- ues to for indexing into a color wheel. The
- default value is 1.0.
-
- -O _\bn Specifies the minimum color index to be used for
- positive exponents
-
- -R _\bp Specifies pseudo-random forcing with probability _\bp
- of using parameter value 'a'.
-
- -S _\bn Specifies the "settle" or number of iterations
- prior to the beginning of the calculation of the
- Lyapunov exponent. Default is 200.
-
- -W _\bn Specifies the width of the window. Default is 256.
-
- -a _\br Specifies the real value to use as the minimum
- parameter value of the horizontal axis. Default is
- 3.0 for the logistic map.
-
- -b _\bn Specifies the real value to use as the minimum
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-XLYAP(6X) XLYAP(6X)
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- parameter value of the vertical axis. Default is
- 3.0 for the logistic map.
-
- -c _\bn Selects one of six different color wheels to use.
- The default color wheel is a rainbow palette.
-
- -F _\b1_\b0_\b1_\b0_\b1_\b0_\b1_\b0
- Specifies the "Function" forcing function to use.
- The example above would alternate between iterat-
- ing the circle and logistic maps. An argument of
- "-F 2323" would alternate between left and right
- logistic maps. The default is to only use the sin-
- gle specified map (see the description of -m).
-
- -f _\ba_\bb_\bb_\ba_\bb_\ba_\ba_\bb
- Specifies the forcing function to use. The default
- is to alternate between the "a" parameter and the
- "b" parameter.
-
- -h _\br Specifies the real value to be used as the range
- over which the vertical parameter values vary. The
- default is 1.0.
-
- -i _\br Specifies the real value of the initial condition
- to use. Default is 0.05.
-
- -m _\bn Selects between available non-linear maps of the
- unit interval. A value of 0 specifies the logistic
- map. A value of 1, the circle map. A value of 2,
- the left-logistic. A value of 3, the right-logis-
- tic. A value of 4, the double-logistic. The
- default is 0, the logistic map.
-
- -o _\bf_\bi_\bl_\be_\bn_\ba_\bm_\be
- Specifies the output filename to be used. If the
- -o option is given, this file will automatically
- be written out at the completion of the drawing.
- If it is not specified, a default filename of
- lyap.out is used and only written if the 'f' or
- 'F' keys are pressed during a run. The format of
- the output file is PPM for color and PGM for
- monochrom. The parameters used to calculate the
- picture are included as comments at the beginning
- of the output file.
-
- -p Switches color indices for negative and positive
- exponents. Generally, causes negative exponents to
- be displayed in more detail while darkening and
- narrowing the color range for positive exponents.
- This can be toggled during runtime by pressing the
- 'p' key.
-
- -r _\bn Specifies the maximum rgb value to be used.
- Default is 35000.
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-XLYAP(6X) XLYAP(6X)
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- -s _\bn Specifies the length of the color wheel spin.
-
- -u Produces a usage message.
-
- -v Prints out the various values to be used and
- exits.
-
- -w _\br Specifies the real value to be used as the range
- over which the horizontal parameter values vary.
- The default is 1.0.
-
- -x _\bn Specifies the x screen coordinate of the window
- (default is 256).
-
- -y _\bn Specifies the y screen coordinate of the window
- (default is 256).
-
-
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-N\bNO\bOT\bTE\bES\bS
- During display, pressing any mouse button allows you to
- select the area to be investigated with the mouse. The
- upper left hand corner of the desired area is the location
- of the cursor when the button is pressed. The lower right
- hand corner is specified by the cursor when the button is
- released.
-
-
- Use of the keys _\bb_\bB_\be_\bE_\bf_\bF_\bk_\bK_\bj_\bJ_\bm_\bn_\br_\bR_\bs_\bS_\bw_\bW_\bx_\bX_\bq_\bQ indicates:
-
- (<) Halve dwell value.
- (>) Double dwell value.
- ([) Halve settle value.
- (]) Double settle value.
- (B or b) Toggle button display on/off
- (E or e) Recalculate the indices into the color wheel
- using a different method
- (F or f) Save current screen to ouput file (not yet
- implemented)
- (H or h or ?) Display brief help message
- (i) Decrement the interval between stripes for the
- striped color map.
- (I) Increment the interval between stripes for the
- striped color map.
- (K) Decrease value exponents are compared against by
- 0.05.
- (J) Increase value exponents are compared against by
- 0.05.
- (M) Decrease value exponents are compared against by
- 0.005.
- (N) Increase value exponents are compared against by
- 0.005.
- (m) Increment the map index, changing the map to be
- iterated.
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-XLYAP(6X) XLYAP(6X)
-
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- (P or p) Toggle positive/negative exponent display.
- (r) Redraw the window using previously calculated expo-
- nents.
- (R) Redraw the window using the newly set dwell and/or
- settle values.
- (S) Spin the color wheel
- (s) Halve the length of the spin and spin the color
- wheel
- (u) Go up to the window just prior to the most recent
- zoom.
- (U) Go all the way up to the original window.
- (V or v) Display values of various parameters currently
- in use
- (W or w) Use next color map.
- (X or x) Clear window
- (Q or q) quit
-
-
-
-A\bAU\bUT\bTH\bHO\bOR\bR
- Ronald Joe Record
- The Santa Cruz Operation
- P.O. Box 1900
- Santa Cruz, CA 95061
- rr@sco.com
-
-
-
-A\bAC\bCK\bKN\bNO\bOW\bWL\bLE\bED\bDG\bGE\bEM\bME\bEN\bNT\bTS\bS
- The algorithm was taken from the September 1991 Scientific
- American article by A. K. Dewdney who gives credit to
- Mario Markus of the Max Planck Institute for its creation.
- Additional information and ideas were gleaned from the
- discussion on alt.fractals involving Stephen Hall, Ed
- Kubaitis, Dave Platt and Baback Moghaddam. Assistance with
- colormaps and spinning color wheels and X was gleaned from
- Hiram Clawson. Rubber banding code was adapted from an
- existing Mandelbrot program written by Stacey Campbell.
-
- Viciously hacked for xscreensaver by Jamie Zawinski,
- 20-Nov-97.
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projects / xscreensaver / blobdiff