# Cellular automata in fuzzy backgrounds

@article{Cattaneo1997CellularAI, title={Cellular automata in fuzzy backgrounds}, author={Gianpiero Cattaneo and Paola Flocchini and Giancarlo Mauri and C. Quaranta Vogliotti and Nicola Santoro}, journal={Physica D: Nonlinear Phenomena}, year={1997}, volume={105}, pages={105-120} }

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## 79 Citations

The Dynamics of General Fuzzy Cellular Automata 1

- Computer Science
- 2005

It is deduced that (except for at most nine cases) no fuzzy cellular automaton admits chaotic behavior in the sense that no dependence on the initial string can occur.

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It is deduced that (except for at most nine cases) no fuzzy cellular automaton admits chaotic behavior in the sense that no dependence on the initial string can occur.

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This paper investigates two initial states of fuzzy rule 90 in the FCA state at a given time and asks whether it can coincide with a desired state by controlling only the initial condition.

The dynamics of fuzzy cellular automata: rule 30

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It follows that fuzzy Rule 30 is neither chaotic nor random, and in the fuzzy case with a finite support configuration all temporal sequences are aperiodic, and their convergence is strongly dependent upon their positions along key diagonals.

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This paper considers circular FCA; their asymptotic behavior has been observed through simulations and FCA have been empirically classified accordingly, and empirical observations proving that all weighted average rules are periodic in time and space are confirmed.

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An Algebraic Characterization of Fuzzy Cellular Automata

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This work starts from a single polynomial in three variables and shows that among these there are precisely eight equivalent polynomials whose span over Z2 generates a vector space of dimension 8 over the fieldZ2 containing 256 distinct elements.

## References

SHOWING 1-10 OF 23 REFERENCES

Applications of ergodic theory and sofic systems to cellular automata

- Mathematics, Computer Science
- 1984

Complex Chaotic Behavior of a Class of Subshift Cellular Automata

- PhysicsComplex Syst.
- 1993

A new class of cellular auto mata is identified that is characterized by shift like dynamics (simple and complex subshift rules); these cellular automata correspond to t he asymmet ric sit uations and they are chaotic dynamical syst ems.

The Structure of the Elementary Cellular Automata Rule Space

- Computer ScienceComplex Syst.
- 1990

The structure of the elementary cellular automata rule space is investigated. The probabilities for a rule to be connected to other rules in the same class (intra-class), as well as rules in di erentâ€¦

On Devaney's definition of chaos

- Mathematics
- 1992

Chaotic dynamical systems have received a great deal of attention in recent years (see for instance [2], [3]). Although there has been no universally accepted mathematical definition of chaos, theâ€¦