Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079172066> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W2079172066 endingPage "6221" @default.
- W2079172066 startingPage "6211" @default.
- W2079172066 abstract "The Birkhoff-Moser theorem guarantees the existence of an analytical reduction to its normal form of an area-preserving map in the neighbourhood of an unstable fixed point. The stable and unstable manifolds emanating from this point are then simply the images of the axes in the normal coordinates. For sufficiently high parameter values of the standard map, the series for the manifolds can be resummed into a closed form, providing good approximations to the first loops of the manifolds. The authors thus obtain simple approximations for a pair of homoclinic orbits for parameters where most orbits are chaotic. The Frenkel-Kontorova model consists of an infinite sequence of equal springs and masses under the action of a periodic potential. The configuration where all the masses lie at the minima of the potential corresponds to the unstable fixed point of the standard map. A soliton or discommensuration, where one of the minima is missed, is represented by a homoclinic orbit. Using the normal form they calculate the soliton energy and its pinning energy. Good agreement is found with the pinning energy of Pokrovsky (1981) obtained as a perturbation from the continuum approximation." @default.
- W2079172066 created "2016-06-24" @default.
- W2079172066 creator A5004619776 @default.
- W2079172066 creator A5050498739 @default.
- W2079172066 date "1987-12-21" @default.
- W2079172066 modified "2023-10-01" @default.
- W2079172066 title "Soliton energies in the standard map beyond the chaotic threshold" @default.
- W2079172066 cites W1966868006 @default.
- W2079172066 cites W1982843064 @default.
- W2079172066 cites W2008876438 @default.
- W2079172066 cites W2042537863 @default.
- W2079172066 cites W2056235872 @default.
- W2079172066 cites W2065763511 @default.
- W2079172066 cites W2083724686 @default.
- W2079172066 cites W2119921851 @default.
- W2079172066 doi "https://doi.org/10.1088/0305-4470/20/18/021" @default.
- W2079172066 hasPublicationYear "1987" @default.
- W2079172066 type Work @default.
- W2079172066 sameAs 2079172066 @default.
- W2079172066 citedByCount "8" @default.
- W2079172066 countsByYear W20791720662021 @default.
- W2079172066 crossrefType "journal-article" @default.
- W2079172066 hasAuthorship W2079172066A5004619776 @default.
- W2079172066 hasAuthorship W2079172066A5050498739 @default.
- W2079172066 hasConcept C121332964 @default.
- W2079172066 hasConcept C121864883 @default.
- W2079172066 hasConcept C154945302 @default.
- W2079172066 hasConcept C158622935 @default.
- W2079172066 hasConcept C2777052490 @default.
- W2079172066 hasConcept C41008148 @default.
- W2079172066 hasConcept C62520636 @default.
- W2079172066 hasConcept C74650414 @default.
- W2079172066 hasConcept C82229145 @default.
- W2079172066 hasConcept C87651913 @default.
- W2079172066 hasConceptScore W2079172066C121332964 @default.
- W2079172066 hasConceptScore W2079172066C121864883 @default.
- W2079172066 hasConceptScore W2079172066C154945302 @default.
- W2079172066 hasConceptScore W2079172066C158622935 @default.
- W2079172066 hasConceptScore W2079172066C2777052490 @default.
- W2079172066 hasConceptScore W2079172066C41008148 @default.
- W2079172066 hasConceptScore W2079172066C62520636 @default.
- W2079172066 hasConceptScore W2079172066C74650414 @default.
- W2079172066 hasConceptScore W2079172066C82229145 @default.
- W2079172066 hasConceptScore W2079172066C87651913 @default.
- W2079172066 hasIssue "18" @default.
- W2079172066 hasLocation W20791720661 @default.
- W2079172066 hasOpenAccess W2079172066 @default.
- W2079172066 hasPrimaryLocation W20791720661 @default.
- W2079172066 hasRelatedWork W1649280159 @default.
- W2079172066 hasRelatedWork W1995387974 @default.
- W2079172066 hasRelatedWork W2025613451 @default.
- W2079172066 hasRelatedWork W2035353446 @default.
- W2079172066 hasRelatedWork W2042177016 @default.
- W2079172066 hasRelatedWork W2059949635 @default.
- W2079172066 hasRelatedWork W2067837494 @default.
- W2079172066 hasRelatedWork W2078293337 @default.
- W2079172066 hasRelatedWork W2084508465 @default.
- W2079172066 hasRelatedWork W2151590043 @default.
- W2079172066 hasVolume "20" @default.
- W2079172066 isParatext "false" @default.
- W2079172066 isRetracted "false" @default.
- W2079172066 magId "2079172066" @default.
- W2079172066 workType "article" @default.