Matches in SemOpenAlex for { <https://semopenalex.org/work/W1982509314> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W1982509314 endingPage "5722" @default.
- W1982509314 startingPage "5702" @default.
- W1982509314 abstract "This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local unstable manifolds of the isolated invariant sets, Lipschitz properties of the semigroup and the rate of exponential attraction. We also generalize this result for some special evolution processes, introducing a concept of Morse decomposition with pullback attractivity. Under suitable assumptions, if (A,A∗) is an attractor–repeller pair for the attractor A of a semigroup {T(t):t≥0}, then the fractal dimension of A can be estimated in terms of the fractal dimension of the local unstable manifold of A∗, the fractal dimension of A, the Lipschitz properties of the semigroup and the rate of the exponential attraction. The ingredients of the proof are the notion of generalized gradient-like semigroups and their regular attractors, Morse decomposition and a fine analysis of the structure of the attractors. As we said previously, we generalize this result for some evolution processes using the same basic ideas." @default.
- W1982509314 created "2016-06-24" @default.
- W1982509314 creator A5014487434 @default.
- W1982509314 creator A5023861992 @default.
- W1982509314 creator A5037299870 @default.
- W1982509314 creator A5085582592 @default.
- W1982509314 date "2012-09-01" @default.
- W1982509314 modified "2023-10-01" @default.
- W1982509314 title "An estimate on the fractal dimension of attractors of gradient-like dynamical systems" @default.
- W1982509314 cites W1985186634 @default.
- W1982509314 cites W1990255812 @default.
- W1982509314 cites W1999190024 @default.
- W1982509314 cites W2046188174 @default.
- W1982509314 cites W2052749643 @default.
- W1982509314 cites W2066581707 @default.
- W1982509314 cites W2127515923 @default.
- W1982509314 cites W2156929097 @default.
- W1982509314 cites W4250087930 @default.
- W1982509314 doi "https://doi.org/10.1016/j.na.2012.05.018" @default.
- W1982509314 hasPublicationYear "2012" @default.
- W1982509314 type Work @default.
- W1982509314 sameAs 1982509314 @default.
- W1982509314 citedByCount "3" @default.
- W1982509314 countsByYear W19825093142015 @default.
- W1982509314 countsByYear W19825093142016 @default.
- W1982509314 countsByYear W19825093142021 @default.
- W1982509314 crossrefType "journal-article" @default.
- W1982509314 hasAuthorship W1982509314A5014487434 @default.
- W1982509314 hasAuthorship W1982509314A5023861992 @default.
- W1982509314 hasAuthorship W1982509314A5037299870 @default.
- W1982509314 hasAuthorship W1982509314A5085582592 @default.
- W1982509314 hasBestOaLocation W19825093142 @default.
- W1982509314 hasConcept C115311070 @default.
- W1982509314 hasConcept C132954091 @default.
- W1982509314 hasConcept C133905733 @default.
- W1982509314 hasConcept C134306372 @default.
- W1982509314 hasConcept C151376022 @default.
- W1982509314 hasConcept C164380108 @default.
- W1982509314 hasConcept C190470478 @default.
- W1982509314 hasConcept C194198291 @default.
- W1982509314 hasConcept C202444582 @default.
- W1982509314 hasConcept C207405024 @default.
- W1982509314 hasConcept C22324862 @default.
- W1982509314 hasConcept C26546657 @default.
- W1982509314 hasConcept C33676613 @default.
- W1982509314 hasConcept C33923547 @default.
- W1982509314 hasConcept C37914503 @default.
- W1982509314 hasConcept C40636538 @default.
- W1982509314 hasConceptScore W1982509314C115311070 @default.
- W1982509314 hasConceptScore W1982509314C132954091 @default.
- W1982509314 hasConceptScore W1982509314C133905733 @default.
- W1982509314 hasConceptScore W1982509314C134306372 @default.
- W1982509314 hasConceptScore W1982509314C151376022 @default.
- W1982509314 hasConceptScore W1982509314C164380108 @default.
- W1982509314 hasConceptScore W1982509314C190470478 @default.
- W1982509314 hasConceptScore W1982509314C194198291 @default.
- W1982509314 hasConceptScore W1982509314C202444582 @default.
- W1982509314 hasConceptScore W1982509314C207405024 @default.
- W1982509314 hasConceptScore W1982509314C22324862 @default.
- W1982509314 hasConceptScore W1982509314C26546657 @default.
- W1982509314 hasConceptScore W1982509314C33676613 @default.
- W1982509314 hasConceptScore W1982509314C33923547 @default.
- W1982509314 hasConceptScore W1982509314C37914503 @default.
- W1982509314 hasConceptScore W1982509314C40636538 @default.
- W1982509314 hasIssue "14" @default.
- W1982509314 hasLocation W19825093141 @default.
- W1982509314 hasLocation W19825093142 @default.
- W1982509314 hasOpenAccess W1982509314 @default.
- W1982509314 hasPrimaryLocation W19825093141 @default.
- W1982509314 hasRelatedWork W1879974234 @default.
- W1982509314 hasRelatedWork W1982509314 @default.
- W1982509314 hasRelatedWork W2088796013 @default.
- W1982509314 hasRelatedWork W2161168724 @default.
- W1982509314 hasRelatedWork W2161431890 @default.
- W1982509314 hasRelatedWork W2353872816 @default.
- W1982509314 hasRelatedWork W2510408225 @default.
- W1982509314 hasRelatedWork W2581628467 @default.
- W1982509314 hasRelatedWork W2940776251 @default.
- W1982509314 hasRelatedWork W3080852839 @default.
- W1982509314 hasVolume "75" @default.
- W1982509314 isParatext "false" @default.
- W1982509314 isRetracted "false" @default.
- W1982509314 magId "1982509314" @default.
- W1982509314 workType "article" @default.