Totalistic two-dimensional cellular automata exhibiting global periodic behavior
Nino Boccara, Michel Roger
Abstract
We have determined families of two-dimensional deterministic totalistic cellular automaton rules whose stationary density of active sites exhibits a period two in time. Each family of deterministic rules is characterized by an ``average probabilistic totalistic rule'' exhibiting the same periodic behavior.
Create a lesson
Related papers
Amplifying Phenomenal Information: Toward a Fundamental Theory of Consciousness
L. Gabora
Cumulant Dynamics of a Population under Multiplicative Selection, Mutation and Drift
Magnus Rattray, Jonathan L. Shapiro
A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions
Giulia Iori
Number-conserving cellular automaton rules
Nino Boccara, Henryk Fuks
The Importance of Being Discrete - Life Always Wins on the Surface
Nadav M. Shnerb, Yoram Louzoun, Eldad Bettelheim et al.
Fitness versus Longevity in Age-Structured Population Dynamics
W. Hwang, P. L. Krapivsky, S. Redner