4 papers
A Max-Plus Model of Asynchronous Cellular Automata
Ebrahim L. Patel, David Broomhead
This paper presents a new framework for asynchrony. This has its origins in our attempts to better harness the internal decision making process of cellular automata (CA). Thus, we…
Desynchronizing Networks Using Phase Resetting
J. Borresen, D. Broomhead
Understanding complex systems which exhibit desynchronization as an emergent property should have important implications, particularly in treating neurological disorders and design…
Golden gaskets: variations on the Sierpiński sieve
Dave Broomhead, James Montaldi, Nikita Sidorov
We consider the iterated function systems (IFSs) that consist of three general similitudes in the plane with centres at three non-collinear points, and with a common contraction fa…
On the fine structure of stationary measures in systems which contract-on-average
Matthew Nicol, Nikita Sidorov, David Broomhead
Suppose is a set of Lipschitz maps of . We form the iterated function system (IFS) by independently choosing the maps so that the map is chose…