Matches in SemOpenAlex for { <https://semopenalex.org/work/W1966224414> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W1966224414 endingPage "978" @default.
- W1966224414 startingPage "961" @default.
- W1966224414 abstract "The periodic points of a rational mapping are roots of a polynomial. If the coefficients of the mapping are algebraic numbers, then the periodic orbits are also algebraic numbers. A sequence of algebraic number fields is naturally associated with rational mappings, namely the fields containing all orbits of a given period. The authors study the corresponding Galois groups. They show that the latter have subgroups that permute the points of an orbit in the same way as the dynamics. The subgroup having all orbits as invariant sets identifies a field which contains the multipliers of the orbits. They construct their minimal polynomial, thereby computing the multiplier of a cycle without computing the cycle itself. They show that the periodic orbits of the quadratic family are soluble by radicals if their period is less or equal to 4, and they exhibit examples of unsoluble orbits of period 5. Dynamics over algebraic number fields is discrete, and all numerical experiments are reproducible." @default.
- W1966224414 created "2016-06-24" @default.
- W1966224414 creator A5004645956 @default.
- W1966224414 creator A5083498677 @default.
- W1966224414 date "1992-07-01" @default.
- W1966224414 modified "2023-10-17" @default.
- W1966224414 title "Galois theory of periodic orbits of rational maps" @default.
- W1966224414 cites W1969276680 @default.
- W1966224414 cites W1977838259 @default.
- W1966224414 cites W1979355773 @default.
- W1966224414 cites W1994488124 @default.
- W1966224414 cites W1996232292 @default.
- W1966224414 cites W2028687980 @default.
- W1966224414 cites W2037254051 @default.
- W1966224414 cites W2068654798 @default.
- W1966224414 cites W2070877687 @default.
- W1966224414 cites W2084728794 @default.
- W1966224414 cites W2085188728 @default.
- W1966224414 cites W2132427836 @default.
- W1966224414 cites W4250142973 @default.
- W1966224414 doi "https://doi.org/10.1088/0951-7715/5/4/007" @default.
- W1966224414 hasPublicationYear "1992" @default.
- W1966224414 type Work @default.
- W1966224414 sameAs 1966224414 @default.
- W1966224414 citedByCount "28" @default.
- W1966224414 countsByYear W19662244142014 @default.
- W1966224414 countsByYear W19662244142016 @default.
- W1966224414 countsByYear W19662244142017 @default.
- W1966224414 countsByYear W19662244142021 @default.
- W1966224414 countsByYear W19662244142022 @default.
- W1966224414 countsByYear W19662244142023 @default.
- W1966224414 crossrefType "journal-article" @default.
- W1966224414 hasAuthorship W1966224414A5004645956 @default.
- W1966224414 hasAuthorship W1966224414A5083498677 @default.
- W1966224414 hasConcept C118615104 @default.
- W1966224414 hasConcept C124584101 @default.
- W1966224414 hasConcept C127413603 @default.
- W1966224414 hasConcept C129844170 @default.
- W1966224414 hasConcept C134306372 @default.
- W1966224414 hasConcept C139719470 @default.
- W1966224414 hasConcept C146978453 @default.
- W1966224414 hasConcept C162324750 @default.
- W1966224414 hasConcept C190470478 @default.
- W1966224414 hasConcept C196644772 @default.
- W1966224414 hasConcept C202444582 @default.
- W1966224414 hasConcept C2524010 @default.
- W1966224414 hasConcept C2984157986 @default.
- W1966224414 hasConcept C33923547 @default.
- W1966224414 hasConcept C37914503 @default.
- W1966224414 hasConcept C90119067 @default.
- W1966224414 hasConcept C9376300 @default.
- W1966224414 hasConcept C94398972 @default.
- W1966224414 hasConceptScore W1966224414C118615104 @default.
- W1966224414 hasConceptScore W1966224414C124584101 @default.
- W1966224414 hasConceptScore W1966224414C127413603 @default.
- W1966224414 hasConceptScore W1966224414C129844170 @default.
- W1966224414 hasConceptScore W1966224414C134306372 @default.
- W1966224414 hasConceptScore W1966224414C139719470 @default.
- W1966224414 hasConceptScore W1966224414C146978453 @default.
- W1966224414 hasConceptScore W1966224414C162324750 @default.
- W1966224414 hasConceptScore W1966224414C190470478 @default.
- W1966224414 hasConceptScore W1966224414C196644772 @default.
- W1966224414 hasConceptScore W1966224414C202444582 @default.
- W1966224414 hasConceptScore W1966224414C2524010 @default.
- W1966224414 hasConceptScore W1966224414C2984157986 @default.
- W1966224414 hasConceptScore W1966224414C33923547 @default.
- W1966224414 hasConceptScore W1966224414C37914503 @default.
- W1966224414 hasConceptScore W1966224414C90119067 @default.
- W1966224414 hasConceptScore W1966224414C9376300 @default.
- W1966224414 hasConceptScore W1966224414C94398972 @default.
- W1966224414 hasIssue "4" @default.
- W1966224414 hasLocation W19662244141 @default.
- W1966224414 hasOpenAccess W1966224414 @default.
- W1966224414 hasPrimaryLocation W19662244141 @default.
- W1966224414 hasRelatedWork W1966947787 @default.
- W1966224414 hasRelatedWork W1969305862 @default.
- W1966224414 hasRelatedWork W1981909949 @default.
- W1966224414 hasRelatedWork W1994861406 @default.
- W1966224414 hasRelatedWork W2002850650 @default.
- W1966224414 hasRelatedWork W2076912093 @default.
- W1966224414 hasRelatedWork W2088544526 @default.
- W1966224414 hasRelatedWork W2901496727 @default.
- W1966224414 hasRelatedWork W4221162367 @default.
- W1966224414 hasRelatedWork W287701015 @default.
- W1966224414 hasVolume "5" @default.
- W1966224414 isParatext "false" @default.
- W1966224414 isRetracted "false" @default.
- W1966224414 magId "1966224414" @default.
- W1966224414 workType "article" @default.