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Andy Wuensche andy AT ddlab DOT org |
Visiting research fellow Dept. of Informatics (formerly COGS) School of Science and Technology, University of Sussex
Visiting Professor |
DDLab mirror sites: www.sussex.ac.uk/Users/andywu/ddlab.html www.ddlab.org |
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pencil drawing from the very early days before automatic computer drawing was perfected |
the X‑rule - 3d‑glider‑guns - New features - Lecture slides - DD‑Life - Beehive‑rule - Spiral‑rule - Manual - DDLab versions - The DDLab Gallery - Attractor basins - What is DDLab? - Reviews - Registration - Publications - Presentations |
José Manuel Gómez Soto Universal Computation in 2D Cellular Automaton |
ddlabz08 update Feb 2021
relates to this paper: Isotropic Cellular Automata, the DDLab iso-rule paradigm .
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![]() The entropy-min-max scatter plot applied for an automatic classification of 50000 v3k7 hex 2d iso-rules, with options to examine rules and dynamics. Right: The pile-up histogram. |
![]() Typical shape of the pile-up histogram with characteristic dynamics found in different parts of the landscape and the basis for a probing search avoiding the chaotic peak. |
updated EDD 2021 | (EDD) Exploring Discrete Dynamics -- Second Edition -- The DDlab Manual. This hyperref pdf corresponds exactly to ddlabz08 Feb 2021. |
![]() The input-frequence histogram (IFH) filter/mutation game and effects on space-time patterns. The Spiral rule's glider-gun is preserved despite mutating all neutral outputs --- other dynamics would be altered. |
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ddlab_compiled_Feb2021 | compiled ddlabz08, for Linux, Mac, Cygwin, DOS, and readme files.
ddlab_code_Feb2021
| source code for ddlabz08, source code readme, and Makefiles |
complete archive
|
An archive of compiles, code, and documentation, | for the latest versions of ddlabz08 Feb 20021, and all previous versions dating to back 1995.
download directory | of compiles, code, and docs,
for ddlabz08 Feb 2021 and some previous
versions. Also includes
dd_extra.tar.gz
extra files to supplement DDLab and
fonts for Linux which may be required.
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Exploring Discrete Dynamics - Second Edition
published in 2011 by Luniver Press is a 8x10 inch 577 page paperback with color figures, available at
Amazon-UK,
Amazon-USA, and other online book sellers.
Advance Praise by Stuart Kauffman
review
by José Manuel Gómez Soto
in
Journal of Cellular Automata vol 13 no 1-2, 2018. |
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![]() 3d glider-gun click to enlarge |
![]() The Spiral Rule |
![]() 1d CA space-time pattern as a >scrolling tube. The present moment is at the front. |
![]() Null Bpoundary Conditions, Basin of attraction field, ECA rule 150, n=11 |
![]() 3d 200x200x200 space-time patt- ern. Large sizes are possible in ddlabx09 |
DDLab is free (open source) software under the GNU General Public License.
However, institutional users (commercial or educational) are required to register
and pay a registration fee. Personal users are also encouraged to register.
Registered users will receive a simple instruction to remove the annoying
"UNREGISTERED" banners in DDLab. For registration details, click
HERE.
The figure on the right shows a new way of representing
a network as a graph which can be rearranged by dragging vertices.
This is a "scale free" RBN, n=150
with a power-law distribution of both k and out-degree. DDLab is interactive graphics software for researching
discrete dynamical networks, relevant to the study of complexity,
emergent phenomena, neural and bio-molecular networks - especially
gene regulatory networks, and any other dynamical process that plays out
across a directed network, where network nodes receive inputs from
other nodes.
A discrete dynamical network (DDN) can have arbitrary connections
and heterogeneous rules, and includes Cellular Autamata (CA),
and "Random Boolean Networks" (RBN), where the
"Boolean" atribute is extended to multi-value.
Lattice dimensions can be 1d, 2d (triangular, hex, or square) or 3d.
Many tools and functions are available for creating the network
(its rules and wiring), setting the initial
state, analyzing the dynamics, and amending parameters on-the-fly.
An overview is provided in this
2008 pdf preprint, and the in-depth operating manual "Exploring Discrete Dynamics"
Jan 2018 update.
The program iterates the network forward to display space-time patterns,
and also runs the network "backwards" to generate a pattern's
predecessors and reconstruct its branching sub-tree of all ancestor patterns.
For smaller networks, sub-trees, basins of attraction or the whole basin
of attraction field can be reconstructed and displayed as
directed graphs in real time.
The DDLab
Gallery shows examples.
The DDLab Galleryxxxxxxxxxxxxxx
The DDLab
Gallery
is a collection of DDLab images and graphics, with captions,
illustrating some of DDLab's features.
The Gallery was started in Oct 1998.
It will be continually added to and updated.
A similar graph is the "attractor jump-graph",
which shows the probability of jumping between basins of attraction
subject to noise. For some examples
click here
Lecture slides
About 80 of my lecture slides that have accumulated since 2006.
Click here to see the slide pdf file
in a new window - its a large file so might take a minute.
You may use/copy these slides provided you reference myself and DDLab.
Attractor Basinsxxxxxxxx
Attractor basins of discrete dynamical networks are objects in
space-time that link network states according to their
transitions. Click
here for a summary of idea.
Access to these objects, depicted as state transition graphs
according to DDLab's graphic conventions, provides insights into complexity,
chaos and emergent phenomena in cellular automata. In less ordered
networks (as well as CA), attractor basins show how a network is able to
categorize its state space, explaining what it is that constitutes
memory in a network.
detail of a basin of attraction of an RBN. Click to enlarge
What is DDLab?
1d scrolling space-time pattern
v2k5 rule 5c6a4d98. Click to enlarge
Reviewsxxxxxxxxxxxxxxxxxxxxxxxxxx
Early Reviews of DDLab
Reviews of
"The Global Dynamics of
Cellular Automata"
The entire book has been scanned and is available in
pdf -- 39,09M.
Reviews of
Exploring Discrete Dynamics
Exploring Discrete Dynamics -- Second Edition
DDLab's screen saver -- click to enlarge
DDLab's screen saver with expand/contract on-the-fly -- click to enlarge
Related Publicationsxxxxx
Books and various papers related to DDLab are
listed
here, most are in pdf.
back to the start of DDLab
Last modified: Feb 2021