flow - strange attractors.
flow [-display host:display.screen] [-visual visual] [-window] [-root]
[-count number] [-cycles number] [-periodic|-no-periodic]
[-search|-no-search] [-rotate|-no-rotate] [-ride|-no-ride]
[-box|-no-box] [-dbuf|-no-dbuf] [-ncolors number] [-delay number]
Strange attractors formed of flows in a 3D differential equation phase
space. Features the popular attractors described by Lorentz, Rssler,
Birkhoff and Duffing, and can now discover entirely new attractors by
Specify which visual to use. Legal values are the name of a
visual class, or the id number (decimal or hex) of a specific
-window Draw on a newly-created window. This is the default.
-root Draw on the root window.
Number of particles in the flow. Default: 3000
Length of particle trails. Negative values indicate random-
ness. The computational load of a given flow depends on (par-
ticle count) * (trail length). Default: -10
Timeout before changing objects. 0 - 800000. Default: 10000.
turn on/off periodic attractors. These are flows in 2 depen-
dent variables, with a periodic dependence on a third indepen-
dent variable (eg time). Flow will sometimes choose to start
all the particles in the same phase to illustrate the flow's
cross-section. Default: on
turn on/off search for new attractors. If this is enabled, a
fraction of the computing cycles is directed to searching a
60-dimensional parameter space for new strange attractors. If
periodic flows are enabled, these can be searched too. Watch
carefully - you are quite likely to see mathematical objects
that have never been seen before, and since the parameters are
not recorded, you'll probably never see them again! Default:
turn on/off rotating around attractor. Default: on
turn on/off ride in the flow. Default: on
If both -rotate and -ride are enabled the viewpoint will occa-
sionally fly between the two views.
-no-box turn on/off bounding box. Default: on
turn on/off double buffering. If Flow runs slowly in full
screen, but fast in a smaller window (eg on old graphics cards
with too little memory), try turning this option off. Default:
Number of Colors. Default: 200.
Per-frame delay, in microseconds. Default: 10000 (0.01 sec-
DISPLAY to get the default host and display number.
to get the name of a resource file that overrides the global
resources stored in the RESOURCE_MANAGER property.
Copyright (c) 1996 by Tim Auckland <Tim.AucklandATProcket.com> Incorpo-
rating some code from Stephen Davies Copyright (c) 2000
Search code based on techniques described in "Strange Attractors: Cre-
ating Patterns in Chaos" by Julien C. Sprott
Permission to use, copy, modify, and distribute this software and its
documentation for any purpose and without fee is hereby granted, pro-
vided that the above copyright notice appear in all copies and that
both that copyright notice and this permission notice appear in sup-
This file is provided AS IS with no warranties of any kind. The author
shall have no liability with respect to the infringement of copyrights,
trade secrets or any patents by this file or any part thereof. In no
event will the author be liable for any lost revenue or profits or
other special, indirect and consequential damages.
Adapted from swarm.c Copyright (c) 1991 by Patrick J. Naughton.
Adapted from xswarm by Jeff Butterworth. (butterwoATncsc.org).
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