Matches in SemOpenAlex for { <https://semopenalex.org/work/W2092614296> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2092614296 abstract "Since the notion of angular momentum is defined in any dimension by using the exterior product in Rn, one would guess that central force problems in any dimension are completely integrable, as it is known for n=2 or 3. This is proved explicitly in this paper, by constructing n first integrals independent and involution: the energy and some combinations of the angular momentum components. It is shown that these problems are always reduced to a two‐dimensional plane, and the invariant manifolds are topologically, the Cartesian product of those of the reduced problem times n−2 circle factors. It is also proved that for n≳2 these problems are degenerate in the sense that their Hamiltonians do not satisfy one of the hypotheses of the Kolmogorov–Arnold–Moser theorem for persistence of invariant tori, when one considers small perturbations." @default.
- W2092614296 created "2016-06-24" @default.
- W2092614296 creator A5009519537 @default.
- W2092614296 creator A5011095084 @default.
- W2092614296 date "1992-06-01" @default.
- W2092614296 modified "2023-09-25" @default.
- W2092614296 title "Integrals, invariant manifolds, and degeneracy for central force problems in Rn" @default.
- W2092614296 cites W113544757 @default.
- W2092614296 cites W1559305177 @default.
- W2092614296 cites W1661602883 @default.
- W2092614296 cites W1970766718 @default.
- W2092614296 cites W2000538111 @default.
- W2092614296 cites W2010271231 @default.
- W2092614296 cites W2022966562 @default.
- W2092614296 cites W2025120160 @default.
- W2092614296 cites W2025513889 @default.
- W2092614296 cites W2054478385 @default.
- W2092614296 cites W2058893615 @default.
- W2092614296 cites W2060543904 @default.
- W2092614296 cites W2073868859 @default.
- W2092614296 cites W2159695001 @default.
- W2092614296 doi "https://doi.org/10.1063/1.529633" @default.
- W2092614296 hasPublicationYear "1992" @default.
- W2092614296 type Work @default.
- W2092614296 sameAs 2092614296 @default.
- W2092614296 citedByCount "4" @default.
- W2092614296 countsByYear W20926142962015 @default.
- W2092614296 countsByYear W20926142962016 @default.
- W2092614296 countsByYear W20926142962023 @default.
- W2092614296 crossrefType "journal-article" @default.
- W2092614296 hasAuthorship W2092614296A5009519537 @default.
- W2092614296 hasAuthorship W2092614296A5011095084 @default.
- W2092614296 hasConcept C121332964 @default.
- W2092614296 hasConcept C134306372 @default.
- W2092614296 hasConcept C155675718 @default.
- W2092614296 hasConcept C190470478 @default.
- W2092614296 hasConcept C200741047 @default.
- W2092614296 hasConcept C202444582 @default.
- W2092614296 hasConcept C2524010 @default.
- W2092614296 hasConcept C33923547 @default.
- W2092614296 hasConcept C37914503 @default.
- W2092614296 hasConcept C62520636 @default.
- W2092614296 hasConcept C72319582 @default.
- W2092614296 hasConcept C74650414 @default.
- W2092614296 hasConcept C8522634 @default.
- W2092614296 hasConcept C9767117 @default.
- W2092614296 hasConceptScore W2092614296C121332964 @default.
- W2092614296 hasConceptScore W2092614296C134306372 @default.
- W2092614296 hasConceptScore W2092614296C155675718 @default.
- W2092614296 hasConceptScore W2092614296C190470478 @default.
- W2092614296 hasConceptScore W2092614296C200741047 @default.
- W2092614296 hasConceptScore W2092614296C202444582 @default.
- W2092614296 hasConceptScore W2092614296C2524010 @default.
- W2092614296 hasConceptScore W2092614296C33923547 @default.
- W2092614296 hasConceptScore W2092614296C37914503 @default.
- W2092614296 hasConceptScore W2092614296C62520636 @default.
- W2092614296 hasConceptScore W2092614296C72319582 @default.
- W2092614296 hasConceptScore W2092614296C74650414 @default.
- W2092614296 hasConceptScore W2092614296C8522634 @default.
- W2092614296 hasConceptScore W2092614296C9767117 @default.
- W2092614296 hasLocation W20926142961 @default.
- W2092614296 hasOpenAccess W2092614296 @default.
- W2092614296 hasPrimaryLocation W20926142961 @default.
- W2092614296 hasRelatedWork W1808462539 @default.
- W2092614296 hasRelatedWork W1998170312 @default.
- W2092614296 hasRelatedWork W2017981628 @default.
- W2092614296 hasRelatedWork W2059764202 @default.
- W2092614296 hasRelatedWork W2090414997 @default.
- W2092614296 hasRelatedWork W2246726311 @default.
- W2092614296 hasRelatedWork W2579770048 @default.
- W2092614296 hasRelatedWork W284012861 @default.
- W2092614296 hasRelatedWork W2911462004 @default.
- W2092614296 hasRelatedWork W2952393260 @default.
- W2092614296 hasRelatedWork W2952622619 @default.
- W2092614296 hasRelatedWork W3099223900 @default.
- W2092614296 hasRelatedWork W3104524753 @default.
- W2092614296 hasRelatedWork W3104861164 @default.
- W2092614296 hasRelatedWork W3105691530 @default.
- W2092614296 hasRelatedWork W3122125613 @default.
- W2092614296 hasRelatedWork W3167271607 @default.
- W2092614296 hasRelatedWork W3200555768 @default.
- W2092614296 hasRelatedWork W6580903 @default.
- W2092614296 hasRelatedWork W87845502 @default.
- W2092614296 isParatext "false" @default.
- W2092614296 isRetracted "false" @default.
- W2092614296 magId "2092614296" @default.
- W2092614296 workType "article" @default.