Matches in SemOpenAlex for { <https://semopenalex.org/work/W2186573617> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W2186573617 abstract "A finite dynamical system is a system of multivariate functions over a finite alphabet used to model a network of interacting entities. The main feature of a finite dynamical system is its interaction graph, which indicates which local functions depend on which variables; the interaction graph is a qualitative representation of the interactions amongst entities on the network. The rank of a finite dynamical system is the cardinality of its image; the periodic rank is the number of its periodic points. In this paper, we determine the maximum rank and the maximum periodic rank of a finite dynamical system with a given interaction graph over any non-Boolean alphabet. We also obtain a similar result for Boolean finite dynamical systems (also known as Boolean networks) whose interaction graphs are contained in a given digraph. We then prove that the average rank is relatively close (as the size of the alphabet is large) to the maximum. The results mentioned above only deal with the parallel update schedule. We finally determine the maximum rank over all block-sequential update schedules and the supremum periodic rank over all complete update schedules." @default.
- W2186573617 created "2016-06-24" @default.
- W2186573617 creator A5037486046 @default.
- W2186573617 date "2015-12-04" @default.
- W2186573617 modified "2023-09-27" @default.
- W2186573617 title "Maximum Rank and Asymptotic Rank of Finite Dynamical Systems." @default.
- W2186573617 cites W14067180 @default.
- W2186573617 cites W143489896 @default.
- W2186573617 cites W1528140509 @default.
- W2186573617 cites W2050735826 @default.
- W2186573617 cites W2062029454 @default.
- W2186573617 cites W2065758258 @default.
- W2186573617 cites W2077622515 @default.
- W2186573617 cites W2128084896 @default.
- W2186573617 hasPublicationYear "2015" @default.
- W2186573617 type Work @default.
- W2186573617 sameAs 2186573617 @default.
- W2186573617 citedByCount "0" @default.
- W2186573617 crossrefType "posted-content" @default.
- W2186573617 hasAuthorship W2186573617A5037486046 @default.
- W2186573617 hasConcept C114614502 @default.
- W2186573617 hasConcept C118615104 @default.
- W2186573617 hasConcept C121332964 @default.
- W2186573617 hasConcept C124101348 @default.
- W2186573617 hasConcept C132525143 @default.
- W2186573617 hasConcept C164226766 @default.
- W2186573617 hasConcept C2779145032 @default.
- W2186573617 hasConcept C33923547 @default.
- W2186573617 hasConcept C41008148 @default.
- W2186573617 hasConcept C62520636 @default.
- W2186573617 hasConcept C79379906 @default.
- W2186573617 hasConcept C87117476 @default.
- W2186573617 hasConcept C95611797 @default.
- W2186573617 hasConceptScore W2186573617C114614502 @default.
- W2186573617 hasConceptScore W2186573617C118615104 @default.
- W2186573617 hasConceptScore W2186573617C121332964 @default.
- W2186573617 hasConceptScore W2186573617C124101348 @default.
- W2186573617 hasConceptScore W2186573617C132525143 @default.
- W2186573617 hasConceptScore W2186573617C164226766 @default.
- W2186573617 hasConceptScore W2186573617C2779145032 @default.
- W2186573617 hasConceptScore W2186573617C33923547 @default.
- W2186573617 hasConceptScore W2186573617C41008148 @default.
- W2186573617 hasConceptScore W2186573617C62520636 @default.
- W2186573617 hasConceptScore W2186573617C79379906 @default.
- W2186573617 hasConceptScore W2186573617C87117476 @default.
- W2186573617 hasConceptScore W2186573617C95611797 @default.
- W2186573617 hasLocation W21865736171 @default.
- W2186573617 hasOpenAccess W2186573617 @default.
- W2186573617 hasPrimaryLocation W21865736171 @default.
- W2186573617 hasRelatedWork W1519222558 @default.
- W2186573617 hasRelatedWork W1543522906 @default.
- W2186573617 hasRelatedWork W165555358 @default.
- W2186573617 hasRelatedWork W1657130172 @default.
- W2186573617 hasRelatedWork W1754171797 @default.
- W2186573617 hasRelatedWork W1974243430 @default.
- W2186573617 hasRelatedWork W2043702293 @default.
- W2186573617 hasRelatedWork W2063625598 @default.
- W2186573617 hasRelatedWork W2135960340 @default.
- W2186573617 hasRelatedWork W2502214202 @default.
- W2186573617 hasRelatedWork W2583357717 @default.
- W2186573617 hasRelatedWork W2600627466 @default.
- W2186573617 hasRelatedWork W2741665069 @default.
- W2186573617 hasRelatedWork W2900260669 @default.
- W2186573617 hasRelatedWork W2950298468 @default.
- W2186573617 hasRelatedWork W2964274798 @default.
- W2186573617 hasRelatedWork W3011519116 @default.
- W2186573617 hasRelatedWork W3081349986 @default.
- W2186573617 hasRelatedWork W3104763254 @default.
- W2186573617 hasRelatedWork W3109879278 @default.
- W2186573617 isParatext "false" @default.
- W2186573617 isRetracted "false" @default.
- W2186573617 magId "2186573617" @default.
- W2186573617 workType "article" @default.