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Annotated edit history of xlyap(1) version 1, including all changes. View license author blame.
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1 perry 1 XLYAP
2 !!!XLYAP
3 NAME
4 SYNOPSIS
5 DESCRIPTION
6 OPTIONS
7 NOTES
8 AUTHOR
9 ACKNOWLEDGEMENTS
10 ----
11 !!NAME
12
13
14 xlyap - display an array of Lyapunov exponents graphically
15 !!SYNOPSIS
16
17
18 ''xlyap'' [[-BLps][[-W width][[-H height][[-o filename][[-a
19 ''n'' ] [[-b ''n'' ] [[-w ''n'' ] [[-h ''n'' ] [[-i
20 xstart] [[-M ''n'' ] [[-R ''p'' ] [[-S ''n'' ] [[-D
21 ''n'' ] [[-F string][[-f string][[-r ''n'' ] [[-O ''n''
22 ] [[-C ''n'' ] [[-c ''n'' ] [[-m ''n'' ] [[-x xpos] [[-y
23 ypos]
24 !!DESCRIPTION
25
26
27 ''xlyap'' generates and graphically displays an array of
28 Lyapunov exponents for a variety of iterated periodically
29 forced non-linear maps of the unit interval.
30 !!OPTIONS
31
32
33 -random
34
35
36 A good choice for use with xscreensaver: picks random
37 parameters from a built-in list.
38
39
40 -C ''n''
41
42
43 Specifies the minimum color index to be used for negative
44 exponents
45
46
47 -D ''n''
48
49
50 Specifies the
51
52
53 -B
54
55
56 Causes the stop, go, spin and quit buttons to be
57 displayed.
58
59
60 -H ''n''
61
62
63 Specifies the height of the window. Default is
64 256.
65
66
67 -L
68
69
70 Indicates use log(x) + log(y) rather than
71 log(xy).
72
73
74 -M ''r''
75
76
77 Specifies the real value to compare exponent values to for
78 indexing into a color wheel. The default value is
79 1.0.
80
81
82 -O ''n''
83
84
85 Specifies the minimum color index to be used for positive
86 exponents
87
88
89 -R ''p''
90
91
92 Specifies pseudo-random forcing with probability ''p'' of
93 using parameter value 'a'.
94
95
96 -S ''n''
97
98
99 Specifies the
100
101
102 -W ''n''
103
104
105 Specifies the width of the window. Default is
106 256.
107
108
109 -a ''r''
110
111
112 Specifies the real value to use as the minimum parameter
113 value of the horizontal axis. Default is 3.0 for the
114 logistic map.
115
116
117 -b ''n''
118
119
120 Specifies the real value to use as the minimum parameter
121 value of the vertical axis. Default is 3.0 for the logistic
122 map.
123
124
125 -c ''n''
126
127
128 Selects one of six different color wheels to use. The
129 default color wheel is a rainbow palette.
130
131
132 -F ''10101010''
133
134
135 Specifies the
136
137
138 -f ''abbabaab''
139
140
141 Specifies the forcing function to use. The default is to
142 alternate between the
143
144
145 -h ''r''
146
147
148 Specifies the real value to be used as the range over which
149 the vertical parameter values vary. The default is
150 1.0.
151
152
153 -i ''r''
154
155
156 Specifies the real value of the initial condition to use.
157 Default is 0.05.
158
159
160 -m ''n''
161
162
163 Selects between available non-linear maps of the unit
164 interval. A value of 0 specifies the logistic map. A value
165 of 1, the circle map. A value of 2, the left-logistic. A
166 value of 3, the right-logistic. A value of 4, the
167 double-logistic. The default is 0, the logistic
168 map.
169
170
171 -o ''filename''
172
173
174 Specifies the output filename to be used. If the -o option
175 is given, this file will automatically be written out at the
176 completion of the drawing. If it is not specified, a default
177 filename of lyap.out is used and only written if the 'f' or
178 'F' keys are pressed during a run. The format of the output
179 file is PPM for color and PGM for monochrom. The parameters
180 used to calculate the picture are included as comments at
181 the beginning of the output file.
182
183
184 -p
185
186
187 Switches color indices for negative and positive exponents.
188 Generally, causes negative exponents to be displayed in more
189 detail while darkening and narrowing the color range for
190 positive exponents. This can be toggled during runtime by
191 pressing the 'p' key.
192
193
194 -r ''n''
195
196
197 Specifies the maximum rgb value to be used. Default is
198 35000.
199
200
201 -s ''n''
202
203
204 Specifies the length of the color wheel spin.
205
206
207 -u
208
209
210 Produces a usage message.
211
212
213 -v
214
215
216 Prints out the various values to be used and
217 exits.
218
219
220 -w ''r''
221
222
223 Specifies the real value to be used as the range over which
224 the horizontal parameter values vary. The default is
225 1.0.
226
227
228 -x ''n''
229
230
231 Specifies the x screen coordinate of the window (default is
232 256).
233
234
235 -y ''n''
236
237
238 Specifies the y screen coordinate of the window (default is
239 256).
240 !!NOTES
241
242
243 During display, pressing any mouse button allows you to
244 select the area to be investigated with the mouse. The upper
245 left hand corner of the desired area is the location of the
246 cursor when the button is pressed. The lower right hand
247 corner is specified by the cursor when the button is
248 released.
249
250
251 Use of the keys ''bBeEfFkKjJmnrRsSwWxXqQ''
252 indicates:
253
254
255 (
256 !!AUTHOR
257
258
259 Ronald Joe Record
260 The Santa Cruz Operation
261 P.O. Box 1900
262 Santa Cruz, CA 95061
263 rr@sco.com
264 !!ACKNOWLEDGEMENTS
265
266
267 The algorithm was taken from the September 1991 Scientific
268 American article by A. K. Dewdney who gives credit to Mario
269 Markus of the Max Planck Institute for its creation.
270 Additional information and ideas were gleaned from the
271 discussion on alt.fractals involving Stephen Hall, Ed
272 Kubaitis, Dave Platt and Baback Moghaddam. Assistance with
273 colormaps and spinning color wheels and X was gleaned from
274 Hiram Clawson. Rubber banding code was adapted from an
275 existing Mandelbrot program written by Stacey
276 Campbell.
277
278
279 Viciously hacked for xscreensaver by Jamie Zawinski,
280 20-Nov-97.
281 ----
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