COMPLEX DYNAMICS OF ELEMENTARY CELLULAR AUTOMATA EMERGING FROM CHAOTIC RULES

DOI10.1142/S021812741250023XzbMath1270.37018arXiv1203.6074MaRDI QIDQ2843506

Andrew Adamatzky, Genaro J. Martínez, Ramón Alonso-Sanz

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6074

zbMATH Keywords

chaoscellular automatacomplex dynamicsmemoryself-organization and filters

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (15)

How random is spatiotemporal chaos of Langton's ant? ⋮ Temporally Stochastic Cellular Automata: Classes and Dynamics ⋮ Phase Transition in Elementary Cellular Automata with Memory ⋮ Random expansion method for the generation of complex cellular automata ⋮ Structure and Reversibility of 2D von Neumann Cellular Automata Over Triangular Lattice ⋮ Logical Gates via Gliders Collisions ⋮ Topological Conjugacy Classification of Elementary Cellular Automata with Majority Memory ⋮ Generative complexity of Gray-Scott model ⋮ 2D Triangular von Neumann Cellular Automata with Periodic Boundary ⋮ A Study of Chaos in Cellular Automata ⋮ Self-Replicating Patterns in 2D Linear Cellular Automata ⋮ Emergence of density dynamics by surface interpolation in elementary cellular automata ⋮ Chaotic properties of elementary cellular automata with majority memory ⋮ The Transition Rules of 2D Linear Cellular Automata Over Ternary Field and Self-Replicating Patterns ⋮ DESIGNING COMPLEX DYNAMICS IN CELLULAR AUTOMATA WITH MEMORY

Cites Work

• Wolfram's class IV automata and a good Life
• Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates
• Computational mechanics of cellular automata: an example
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