Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300544647> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W4300544647 abstract "We study two families of excitable cellular automata known as the Greenberg-Hastings Model (GHM) and the Cyclic Cellular Automaton (CCA). Each family consists of local deterministic oscillating lattice dynamics, with parallel discrete-time updating, parametrized by the range of interaction, the shape of its neighbor set, threshold value for contact updating, and number of possible states per site. GHM and CCA are mathematically tractable prototypes for the spatially distributed periodic wave activity of so-called excitable media observed in diverse disciplines of experimental science. Earlier work by Fisch, Gravner, and Griffeath studied the ergodic behavior of these excitable cellular automata on Z^2, and identified two distinct (but closely-related) elaborate phase portraits as the parameters vary. In particular, they noted the emergence of asymptotic phase diagrams (and Euclidean dynamics) in a well-defined threshold-range scaling limit. In this study we present several rigorous results and some experimental findings concerning various phase transitions in the asymptotic diagrams, focusing on evaluating the limiting threshold cutoff for existence of the spirals that characterize many excitable media. For mathematical expediency our main results are formulated in terms of spo(p), the cutoff for existence of stable periodic objects that arise as spiral cores." @default.
- W4300544647 created "2022-10-03" @default.
- W4300544647 creator A5019302621 @default.
- W4300544647 creator A5067724611 @default.
- W4300544647 date "1993-03-22" @default.
- W4300544647 modified "2023-09-27" @default.
- W4300544647 title "Asymptotic Behavior of Excitable Cellular Automata" @default.
- W4300544647 doi "https://doi.org/10.48550/arxiv.patt-sol/9303002" @default.
- W4300544647 hasPublicationYear "1993" @default.
- W4300544647 type Work @default.
- W4300544647 citedByCount "0" @default.
- W4300544647 crossrefType "posted-content" @default.
- W4300544647 hasAuthorship W4300544647A5019302621 @default.
- W4300544647 hasAuthorship W4300544647A5067724611 @default.
- W4300544647 hasBestOaLocation W43005446471 @default.
- W4300544647 hasConcept C11413529 @default.
- W4300544647 hasConcept C121332964 @default.
- W4300544647 hasConcept C121864883 @default.
- W4300544647 hasConcept C122044880 @default.
- W4300544647 hasConcept C122283620 @default.
- W4300544647 hasConcept C129782007 @default.
- W4300544647 hasConcept C134306372 @default.
- W4300544647 hasConcept C151201525 @default.
- W4300544647 hasConcept C158622935 @default.
- W4300544647 hasConcept C159985019 @default.
- W4300544647 hasConcept C192499940 @default.
- W4300544647 hasConcept C192562407 @default.
- W4300544647 hasConcept C202444582 @default.
- W4300544647 hasConcept C204323151 @default.
- W4300544647 hasConcept C24890656 @default.
- W4300544647 hasConcept C2524010 @default.
- W4300544647 hasConcept C2778217198 @default.
- W4300544647 hasConcept C2781204021 @default.
- W4300544647 hasConcept C2781349735 @default.
- W4300544647 hasConcept C33923547 @default.
- W4300544647 hasConcept C35527583 @default.
- W4300544647 hasConcept C41008148 @default.
- W4300544647 hasConcept C62520636 @default.
- W4300544647 hasConcept C99844830 @default.
- W4300544647 hasConceptScore W4300544647C11413529 @default.
- W4300544647 hasConceptScore W4300544647C121332964 @default.
- W4300544647 hasConceptScore W4300544647C121864883 @default.
- W4300544647 hasConceptScore W4300544647C122044880 @default.
- W4300544647 hasConceptScore W4300544647C122283620 @default.
- W4300544647 hasConceptScore W4300544647C129782007 @default.
- W4300544647 hasConceptScore W4300544647C134306372 @default.
- W4300544647 hasConceptScore W4300544647C151201525 @default.
- W4300544647 hasConceptScore W4300544647C158622935 @default.
- W4300544647 hasConceptScore W4300544647C159985019 @default.
- W4300544647 hasConceptScore W4300544647C192499940 @default.
- W4300544647 hasConceptScore W4300544647C192562407 @default.
- W4300544647 hasConceptScore W4300544647C202444582 @default.
- W4300544647 hasConceptScore W4300544647C204323151 @default.
- W4300544647 hasConceptScore W4300544647C24890656 @default.
- W4300544647 hasConceptScore W4300544647C2524010 @default.
- W4300544647 hasConceptScore W4300544647C2778217198 @default.
- W4300544647 hasConceptScore W4300544647C2781204021 @default.
- W4300544647 hasConceptScore W4300544647C2781349735 @default.
- W4300544647 hasConceptScore W4300544647C33923547 @default.
- W4300544647 hasConceptScore W4300544647C35527583 @default.
- W4300544647 hasConceptScore W4300544647C41008148 @default.
- W4300544647 hasConceptScore W4300544647C62520636 @default.
- W4300544647 hasConceptScore W4300544647C99844830 @default.
- W4300544647 hasLocation W43005446471 @default.
- W4300544647 hasLocation W43005446472 @default.
- W4300544647 hasOpenAccess W4300544647 @default.
- W4300544647 hasPrimaryLocation W43005446471 @default.
- W4300544647 hasRelatedWork W1484474385 @default.
- W4300544647 hasRelatedWork W1639368660 @default.
- W4300544647 hasRelatedWork W1965843921 @default.
- W4300544647 hasRelatedWork W2003015438 @default.
- W4300544647 hasRelatedWork W2041817244 @default.
- W4300544647 hasRelatedWork W2165612592 @default.
- W4300544647 hasRelatedWork W2949333178 @default.
- W4300544647 hasRelatedWork W2950099573 @default.
- W4300544647 hasRelatedWork W2964047834 @default.
- W4300544647 hasRelatedWork W4300544647 @default.
- W4300544647 isParatext "false" @default.
- W4300544647 isRetracted "false" @default.
- W4300544647 workType "article" @default.