| Issue |
Europhys. Lett.
Volume 33, Number 7, March I 1996
|
|
|---|---|---|
| Page(s) | 509 - 514 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1996-00370-1 | |
| Published online | 01 September 2002 | |
Randomly connected cellular automata: a search for critical connectivities
Theoretical Physics, University of Oxford - 1 Keble Road, Oxford OX1
3NP, UK
Received:
28
August
1995
Accepted:
18
January
1996
I study the Chaté-Manneville cellular-automata rules on randomly connected
lattices. The periodic and quasi-periodic macroscopic behaviours
associated with these rules on finite-dimensional lattices persist on
an infinite-dimensional lattice with finite connectivity and symmetric bonds.
The lower critical connectivity for these models is at C=4 and the
mean-field connectivity, if finite, is not smaller than C=100.
Autocorrelations are found to decay as a power law with a
connectivity-independent exponent 
. A new intermittent chaotic phase
is also discussed.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 05.45.+b – Theory and models of chaotic systems / 03.20.+i – Classical mechanics of discrete systems: general mathematical aspects
© EDP Sciences, 1996
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.