Discrete Dynamics Lab 
Update November 2018ddlabz07 is documented in an updated hyperref PDF ExploringDiscreteDynamicsupdateJan2018.pdf which can be downloaded HERE. This is an updated version of Exploring Discrete Dynamics, Second Edition (EDD2) (2016) published by Luniver Press, a 8x10 inch 577 page paperback with color figures, which can be purchased at AmazonUK, AmazonUSA, and other online book sellers.
November 2018 updates (on the
Jan 2018 release)
include new options for investigating "Pulsing dynamics in randomly wired glider cellular automata"
(preprint)
in 2D 3value totalistic CA, though the options apply in general.
As well minor improvements and bug fixes, updates include:

The DDLab screen showing pulsing dynamics. 2D spacetime patterns, 100x100, scroll vertically upwards on the left. The present timestep is at the bottom. The dark timesteps at the top are colored by value, and below by neighborhood colors. To the right of spacetime patterns is the entropy plot and the inputhistogram, below center the entropydensity plot with linked dots. Interrupt prompts are shown topright, and onthefly reminder on the right. The rule is v3k7 g3 (hex) 622984288a08086a94. 
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx DDLab has been updated at regular intervals since its release in 1995. Its precursor was the Atlas software included on diskette inside the back cover of "The Global Dynamics of Cellular Automata" 1992. For a list and download of this and older versions click here.
(EDD2ndEdupdate) is the latest documentation
Jan 2018
(EDD2ndEdupdate) 
EDD#32.7.3 While running spacetime patterns,
a new onthefly keyhit ? (question mark) allows nonlocal (random) wiring to be
rerandomised at each timestep.
The network will be rerandomised according to any random
wiring biases originally set in EDD#11 and EDD#12. It turns out that rerandomising makes no difference to the
characteristic pulsing waveform.
New complex "glider" rule collections are included in the updated dd_extra.tar.gz file.
Activate a "glider" rule with onthfly with keyhit g. The collections include these
2d neigborhoods for k=3 to 7.
Discrete Dynamics Lab home page.
Examples of random wiring in a 40x40 2D lattice. A bigger lattice would
normally be required for robust pulsing, to avoid reaching a uniform value attractor.
The cellular automaton pulsing model
(preprint)
described the surprising phenomenon of spontaneous, sustained and
robust rhythmic oscillations, pulsing dynamics, when random wiring
is applied to a 2D ``glider'' rule running in a 3value totalistic CA.
The characteristic waveforms are robust and depend
on the specific glider rule applied.
Last modified: Nov 2018