Matches in SemOpenAlex for { <https://semopenalex.org/work/W1989846232> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W1989846232 endingPage "5615" @default.
- W1989846232 startingPage "5601" @default.
- W1989846232 abstract "In this paper, we study local structures of volume-preserving maps and source-free vector fields, which are defined in the Euclidean n-space Rn with n ≥ 3. First, we prove that any volume-preserving map, defined in some neighbourhood of the origin, can be represented as a composition of n − 1 essentially two-dimensional area-preserving maps. This result can be viewed as an analogue of the following known fact (Feng and Shang 1995 Volume-preserving algorithms for source-free dynamical systems Numer. Math. 71 451–63): any source-free vector field on Rn can be represented as a sum of n − 1 essentially two-dimensional Hamiltonian vector fields. Then, we present a local representation of source-free vector fields under volume-preserving coordinate changes. Finally, we construct a Lie algebra of skew-symmetric tensor potentials of second order associated with source-free vector fields. The Lie algebra turns out to be isomorphic to the Lie algebra of source-free vector fields." @default.
- W1989846232 created "2016-06-24" @default.
- W1989846232 creator A5022017895 @default.
- W1989846232 date "2006-04-24" @default.
- W1989846232 modified "2023-09-27" @default.
- W1989846232 title "Volume-preserving maps, source-free systems and their local structures" @default.
- W1989846232 cites W1600448051 @default.
- W1989846232 cites W1991100653 @default.
- W1989846232 cites W2014744421 @default.
- W1989846232 cites W2020614419 @default.
- W1989846232 cites W2064995425 @default.
- W1989846232 cites W2101441548 @default.
- W1989846232 cites W2119921851 @default.
- W1989846232 cites W2126479355 @default.
- W1989846232 cites W2143783905 @default.
- W1989846232 cites W2145208522 @default.
- W1989846232 cites W2151355309 @default.
- W1989846232 cites W2163099240 @default.
- W1989846232 cites W2213167558 @default.
- W1989846232 cites W2327900111 @default.
- W1989846232 cites W2333688869 @default.
- W1989846232 cites W3099526877 @default.
- W1989846232 cites W4205424143 @default.
- W1989846232 cites W4292170110 @default.
- W1989846232 doi "https://doi.org/10.1088/0305-4470/39/19/s16" @default.
- W1989846232 hasPublicationYear "2006" @default.
- W1989846232 type Work @default.
- W1989846232 sameAs 1989846232 @default.
- W1989846232 citedByCount "3" @default.
- W1989846232 countsByYear W19898462322014 @default.
- W1989846232 countsByYear W19898462322021 @default.
- W1989846232 crossrefType "journal-article" @default.
- W1989846232 hasAuthorship W1989846232A5022017895 @default.
- W1989846232 hasConcept C121332964 @default.
- W1989846232 hasConcept C20556612 @default.
- W1989846232 hasConcept C41008148 @default.
- W1989846232 hasConcept C97355855 @default.
- W1989846232 hasConceptScore W1989846232C121332964 @default.
- W1989846232 hasConceptScore W1989846232C20556612 @default.
- W1989846232 hasConceptScore W1989846232C41008148 @default.
- W1989846232 hasConceptScore W1989846232C97355855 @default.
- W1989846232 hasIssue "19" @default.
- W1989846232 hasLocation W19898462321 @default.
- W1989846232 hasOpenAccess W1989846232 @default.
- W1989846232 hasPrimaryLocation W19898462321 @default.
- W1989846232 hasRelatedWork W2130043461 @default.
- W1989846232 hasRelatedWork W2350741829 @default.
- W1989846232 hasRelatedWork W2358668433 @default.
- W1989846232 hasRelatedWork W2376932109 @default.
- W1989846232 hasRelatedWork W2382290278 @default.
- W1989846232 hasRelatedWork W2390279801 @default.
- W1989846232 hasRelatedWork W2748952813 @default.
- W1989846232 hasRelatedWork W2899084033 @default.
- W1989846232 hasRelatedWork W3004735627 @default.
- W1989846232 hasRelatedWork W2530322880 @default.
- W1989846232 hasVolume "39" @default.
- W1989846232 isParatext "false" @default.
- W1989846232 isRetracted "false" @default.
- W1989846232 magId "1989846232" @default.
- W1989846232 workType "article" @default.