Computer Explorations of Fractals, Chaos,Complex Systems, and Adaptation

 About the Book
 · title page · home* · cover artwork · jacket text · table of contents · the author* · ordering information
 Book Contents
 · three themes · part synopses · selected excerpts · all figures from book · quotes from book · glossary from book · bibliography · slide show
 Source Code
 · overview &documentation · FAQ list* · download source code · java applets
 Miscellany
 · news* · reviews & awards · errata · for educators · bibliography (BibTeX format) · other links
 GEN1D Documentation

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```

NAME

```       gen1d - generate time series from a one-dimensional map

```

SYNOPSIS

```       gen1d -help
or
gen1d  [-points integer] [-skip integer] [-r double] [-aux
double] [-x0 double] [-func string]

```

DESCRIPTION

```       A time series data set is generated by  a  one-dimensional
map according to the specified options.  See the MAPS sec-
tion of the manual page for details of what maps are  sup-
ported.   User  defined  maps  can  be  added  to the file
maps1d.c, but you must recompile the program.

```

OPTIONS

```       -points integer
Number of points to plot.

-skip integer
Number of initial points to skip.

-r double
Value for the r parameter.

-aux double
Auxiliary map parameter.

-x0 double
Initial value for x.

-func string
Map function to use (one of 'log',  'tent',  'sin',
or 'gauss').

```

MAPS

```       The following four one-dimensional maps are allowed:

Logistic Map:
x(t+1) = 4 * r * x(t) * (1.0 - x(t))

Tent Map:
x(t+1) = (x(t) <= 0.5) ? 2 * r * x(t) : 2r * (1.0 -
x(t))

Sine Map:
x(t+1) = sin(x(t) * PI * aux * 2 * r) / 2 + 0.5

Gaussian Map:
x(t+1) = r * exp(-aux * (x(t)  -  0.5)  *  (x(t)  -
0.5))

See  the  file  "maps1d.c"  to see how to add user-defined

maps.

```

MISCELLANY

```       Use a plotting program (such as gnuplot) or a  spreadsheet
to plot the data.

```

BUGS

```       No  sanity  checks  are performed to make sure that any of
the options make sense.

```

AUTHOR

```       Copyright (c) 1997, Gary William Flake.

Permission granted for any use according to  the  standard
GNU ``copyleft'' agreement provided that the author's com-
ments are neither modified nor removed.   No  warranty  is
given or implied.

```
 Copyright © Gary William Flake, 1998-2002. All Rights Reserved. Last modified: 30 Nov 2002