On Devaney's definition of chaos
American Mathematical Monthly
Pattern growth in elementary cellular automata
Theoretical Computer Science
An introduction to symbolic dynamics and coding
An introduction to symbolic dynamics and coding
Investigating topological chaos by elementary cellular automata dynamics
Theoretical Computer Science
Chaotic Subshifts Generated by One Dimensional Elementary CA. The Role of Transitivity
ACRI '01 Proceedings of the 5th International Conference on Cellular Automata for Research and Industry
Solution of some conjectures about topological properties of linear cellular automata
Theoretical Computer Science - Special issue: Theoretical aspects of cellular automata
Decidable Properties of 2D Cellular Automata
DLT '08 Proceedings of the 12th international conference on Developments in Language Theory
Conservation of some dynamical properties for operations on cellular automata
Theoretical Computer Science
On the Asymptotic Behavior of Fuzzy Cellular Automata
Electronic Notes in Theoretical Computer Science (ENTCS)
On the directional dynamics of additive cellular automata
Theoretical Computer Science
Subshifts behavior of cellular automata. topological properties and related languages
MCU'04 Proceedings of the 4th international conference on Machines, Computations, and Universality
Sand piles: From physics to cellular automata models
Theoretical Computer Science
Asynchronous cellular automata and dynamical properties
Natural Computing: an international journal
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Subshift behaviors of one-dimensional (1D) bi-infinite Cellular Automata are studied. In particular the conditions under which subshifts generated by CA 1D dynamical systems exhibit some components of the chaotic behavior (in particular transitivity, topological mixing and strong transitivity) are investigated. A complete classification of all elementary (Boolean radius one) CA with respect to subshifts is given.