Phenomenlogy of nonlocal cellular automata

DOI10.1007/BF01048877zbMath0900.68317OpenAlexW2012815647WikidataQ30047351 ScholiaQ30047351MaRDI QIDQ1379444

Wentian Li

Publication date: 24 March 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048877

zbMATH Keywords

automata networks

Mathematics Subject Classification ID

Topological dynamics (37B99) Utility theory (91B16) Cellular automata (computational aspects) (68Q80) General biology and biomathematics (92B05)

Related Items

Locality of the interaction affects dynamics in probabilistic cellular automata, Collective behaviors in coupled map lattices with local and nonlocal connections, Progress, gaps and obstacles in the classification of cellular automata, CHAOTIC MEAN FIELD DYNAMICS OF A BOOLEAN NETWORK WITH RANDOM CONNECTIVITY, A novel algorithm for image encryption based on mixture of chaotic maps, On generative morphological diversity of elementary cellular automata, Parameter characterization of two-dimensional cellular automata rule space, On the effect of memory in one-dimensional \(k=4\) automata on networks, Emergence of density dynamics by surface interpolation in elementary cellular automata, The parts and the whole: inquiring how the interaction of simple subsystems generates complexity, Cellular automata-based systems with fault-tolerance

Cites Work

• A hierarchical classification of cellular automata
• Transition phenomena in cellular automata rule space
• Is there a sharp phase transition for deterministic cellular automata?
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Computation theory of cellular automata
• On the prediction of local patterns in cellular automata
• Parallel and sequential computation on Boolean networks
• Local structure theory for cellular automata
• Global properties of cellular automata
• Conservative logic
• Stability of nonstationary states of classical, many-body dynamical systems.
• Dynamics of a globally coupled oscillator array
• Attractor dominance patterns in sparsely connected Boolean nets
• Statistical mechanics of cellular automata
• Stochastic Dynamics of Neural Networks
• Twenty Problems in the Theory of Cellular Automata
• Phase diagram for the collective behavior of limit-cycle oscillators
• Simple mathematical models with very complicated dynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item