THE EFFECT OF MEMORY IN CELLULAR AUTOMATA ON SCALE-FREE NETWORKS: THE $\overline{K}=4$ CASE-Reference-Cited by-同舟云学术

THE EFFECT OF MEMORY IN CELLULAR AUTOMATA ON SCALE-FREE NETWORKS: THE $\overline{K}=4$ CASE

Published:2008-08 Issue:08 Volume:18 Page:2477-2486
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ALONSO-SANZ RAMÓN¹²,CÁRDENAS JUAN PABLO¹

Affiliation:

1. Grupo de Sistemas Complejos — Universidad Politécnica de Madrid, Spain

2. ETSI Agrónomos (Estadística), C.Universitaria. 28040, Madrid, Spain

Abstract

In standard cellular automata the new state of a cell depends on the neighborhood configuration solely at the preceding time step. This study analyzes the effect of implementing memory in cells of cellular automata on networks with scale-free topology. As a rule, embedding memory in cells induces a notable depletion in the cell change rate, but it is not so effective in controlling the spread of damage.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127408021841

Reference28 articles.

1. Reversible cellular automata with memory: two-dimensional patterns from a single site seed

2. CELLULAR AUTOMATA WITH ACCUMULATIVE MEMORY: LEGAL RULES STARTING FROM A SINGLE SITE SEED

3. ONE-DIMENSIONAL r=2 CELLULAR AUTOMATA WITH MEMORY

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On beta-skeleton automata with memory;Journal of Computational Science;2011-03

2. On the robustness of Spanish telecommunication networks;Physica A: Statistical Mechanics and its Applications;2010-10

3. The Effect of the Complex Topology on the Robustness of Spanish SDH Network;2009 Fifth International Conference on Networking and Services;2009

4. BOOLEAN NETWORKS WITH MEMORY;International Journal of Bifurcation and Chaos;2008-12

5. On the effect of memory in one-dimensional automata on networks;Physica D: Nonlinear Phenomena;2008-12