Sensitive dependence on initial conditions for cellular automata

DOI10.1063/1.166266zbMath0933.37007OpenAlexW1971802322WikidataQ52015506 ScholiaQ52015506MaRDI QIDQ4935796

Jesús Urías, Agustín Enciso, Raúl Rechtman

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166266

zbMATH Keywords

Lyapunov exponentsaverage velocitysensitive dependencepropagating damage fronts

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

Stochastic automated search methods in cellular automata: The discovery of tens of thousands of glider guns ⋮ Topology-induced phase transitions in totalistic cellular automata ⋮ Towards Generalized Measures Grasping CA Dynamics ⋮ Predictability: a way to characterize complexity ⋮ Phenomenological study of irregular cellular automata based on Lyapunov exponents and Jacobians ⋮ Chaos of elementary cellular automata rule 42 of Wolfram’s class II ⋮ On the topological sensitivity of cellular automata ⋮ A model for monolayer deposition with interacting particles

Cites Work

• Boolean derivatives on cellular automata
• Sensitive dependence to initial conditions for one dimensional maps
• Turbulent pattern bases for cellular automata
• Rice's theorem for the limit sets of cellular automata
• Lyapunov exponents for one-dimensional cellular automata
• On Devaney's Definition of Chaos
• The topological entropy of cellular automata is uncomputable
• Sensitive dependence on initial conditions
• BOOLEAN DERIVATIVES AND COMPUTATION OF CELLULAR AUTOMATA
• Traveling patterns in cellular automata

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