```

```

#### NAME

```       phase1d - plot phase-space of a one-dimensional map

```

#### SYNOPSIS

```       phase1d -help
or
phase1d
[-width  integer]  [-height integer] [-points inte-
ger] [-skip integer] [-r double] [-aux double] [-x0
double]   [-dx  double]  [-func  string]  [-arrows]
[-inv] [-mag integer] [-term string]

```

#### DESCRIPTION

```       A phase-space diagram is plotted for a one-dimensional map
according to the specified options.  If the option for -dx
is non-zero, then two trajectories are plotted: one  star-
ing  at  x0, and the other starting at (x0 + dx).  See the
MAPS section of the manual page for details of  what  maps
are supported.  User defined maps can be added to the file
maps1d.c, but you must recompile the program.

```

#### OPTIONS

```       -width integer
Width of the plot in pixels.

-height integer
Height of the plot in pixels.

-points integer
Number of points to plot.

-skip integer
Number of points to skip.

-r double
Value for r.

-aux double
Auxiliary map parameter.

-x0 double
Initial value for x.

-dx double
Difference for second trajectory.

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

-arrows
Show arrows to indicate directions?

-inv   Invert all colors?

-mag integer
Magnification factor.

-term string
How to plot points.

```

#### 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.

```

#### 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.

```

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