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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- 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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- Computer ScienceInternational Conference on Computational Science
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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
- Computer Science
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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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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.
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