Matches in SemOpenAlex for { <https://semopenalex.org/work/W2772036576> ?p ?o ?g. }
- W2772036576 endingPage "202" @default.
- W2772036576 startingPage "164" @default.
- W2772036576 abstract "In this paper, we will focus on the persistence of elliptic-type degenerate invariant tori with the same frequency vector ω∈Rd as the forcing in a class of quasi-periodically forced four-dimensional non-conservative systems. It is shown that, under suitable hypothesis of smoothness with respect to ϵ and the Brjuno–Rüssmann's non-resonant condition instead of ordinary Diophantine condition with respect to the frequency vector ω∈Rd, the invariant tori persist under small perturbations for most of the sufficiently small parameters ϵ in the sense of the Lebesgue measure. Hence, the system has a quasi-periodic solution with the same frequency vector ω as the forcing. The proof is based on the Pöschel–Rüssmann KAM method, which is a KAM-type method in which one uses the polynomial structure of function to truncate, introduce a parameter q and make the steps of KAM iteration infinitely small in the speed of function qnκ,0<q<1, rather than super exponential function like traditional KAM method." @default.
- W2772036576 created "2017-12-22" @default.
- W2772036576 creator A5009796023 @default.
- W2772036576 creator A5080568517 @default.
- W2772036576 date "2018-04-01" @default.
- W2772036576 modified "2023-10-10" @default.
- W2772036576 title "Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems" @default.
- W2772036576 cites W1653579981 @default.
- W2772036576 cites W1937428165 @default.
- W2772036576 cites W1963992485 @default.
- W2772036576 cites W1968583855 @default.
- W2772036576 cites W1974936024 @default.
- W2772036576 cites W1975862088 @default.
- W2772036576 cites W1976232898 @default.
- W2772036576 cites W1977082764 @default.
- W2772036576 cites W1989055092 @default.
- W2772036576 cites W2006638341 @default.
- W2772036576 cites W2022593484 @default.
- W2772036576 cites W2026448074 @default.
- W2772036576 cites W2030707643 @default.
- W2772036576 cites W2032280651 @default.
- W2772036576 cites W2033066703 @default.
- W2772036576 cites W2063438139 @default.
- W2772036576 cites W2081441795 @default.
- W2772036576 cites W2086192395 @default.
- W2772036576 cites W2086712606 @default.
- W2772036576 cites W2088212036 @default.
- W2772036576 cites W2163570722 @default.
- W2772036576 cites W2167941160 @default.
- W2772036576 cites W2319064422 @default.
- W2772036576 cites W2512190972 @default.
- W2772036576 cites W2912224068 @default.
- W2772036576 cites W3103591045 @default.
- W2772036576 cites W4232040887 @default.
- W2772036576 cites W4236657544 @default.
- W2772036576 cites W4251839481 @default.
- W2772036576 cites W2055963392 @default.
- W2772036576 doi "https://doi.org/10.1016/j.jmaa.2017.11.047" @default.
- W2772036576 hasPublicationYear "2018" @default.
- W2772036576 type Work @default.
- W2772036576 sameAs 2772036576 @default.
- W2772036576 citedByCount "6" @default.
- W2772036576 countsByYear W27720365762021 @default.
- W2772036576 countsByYear W27720365762022 @default.
- W2772036576 countsByYear W27720365762023 @default.
- W2772036576 crossrefType "journal-article" @default.
- W2772036576 hasAuthorship W2772036576A5009796023 @default.
- W2772036576 hasAuthorship W2772036576A5080568517 @default.
- W2772036576 hasBestOaLocation W27720365761 @default.
- W2772036576 hasConcept C121332964 @default.
- W2772036576 hasConcept C121770821 @default.
- W2772036576 hasConcept C134306372 @default.
- W2772036576 hasConcept C14158598 @default.
- W2772036576 hasConcept C190470478 @default.
- W2772036576 hasConcept C202444582 @default.
- W2772036576 hasConcept C206530611 @default.
- W2772036576 hasConcept C2524010 @default.
- W2772036576 hasConcept C2777105136 @default.
- W2772036576 hasConcept C33923547 @default.
- W2772036576 hasConcept C37914503 @default.
- W2772036576 hasConcept C62520636 @default.
- W2772036576 hasConcept C72319582 @default.
- W2772036576 hasConcept C8522634 @default.
- W2772036576 hasConcept C9767117 @default.
- W2772036576 hasConceptScore W2772036576C121332964 @default.
- W2772036576 hasConceptScore W2772036576C121770821 @default.
- W2772036576 hasConceptScore W2772036576C134306372 @default.
- W2772036576 hasConceptScore W2772036576C14158598 @default.
- W2772036576 hasConceptScore W2772036576C190470478 @default.
- W2772036576 hasConceptScore W2772036576C202444582 @default.
- W2772036576 hasConceptScore W2772036576C206530611 @default.
- W2772036576 hasConceptScore W2772036576C2524010 @default.
- W2772036576 hasConceptScore W2772036576C2777105136 @default.
- W2772036576 hasConceptScore W2772036576C33923547 @default.
- W2772036576 hasConceptScore W2772036576C37914503 @default.
- W2772036576 hasConceptScore W2772036576C62520636 @default.
- W2772036576 hasConceptScore W2772036576C72319582 @default.
- W2772036576 hasConceptScore W2772036576C8522634 @default.
- W2772036576 hasConceptScore W2772036576C9767117 @default.
- W2772036576 hasFunder F4320321001 @default.
- W2772036576 hasIssue "1" @default.
- W2772036576 hasLocation W27720365761 @default.
- W2772036576 hasOpenAccess W2772036576 @default.
- W2772036576 hasPrimaryLocation W27720365761 @default.
- W2772036576 hasRelatedWork W1977082764 @default.
- W2772036576 hasRelatedWork W2010184708 @default.
- W2772036576 hasRelatedWork W2010541420 @default.
- W2772036576 hasRelatedWork W2175706567 @default.
- W2772036576 hasRelatedWork W2963159657 @default.
- W2772036576 hasRelatedWork W3091906543 @default.
- W2772036576 hasRelatedWork W3105746848 @default.
- W2772036576 hasRelatedWork W3113207073 @default.
- W2772036576 hasRelatedWork W3138295846 @default.
- W2772036576 hasRelatedWork W4297581703 @default.
- W2772036576 hasVolume "460" @default.
- W2772036576 isParatext "false" @default.
- W2772036576 isRetracted "false" @default.
- W2772036576 magId "2772036576" @default.