Matches in SemOpenAlex for { <https://semopenalex.org/work/W2927399007> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2927399007 endingPage "170" @default.
- W2927399007 startingPage "164" @default.
- W2927399007 abstract "Abstract Grazing bifurcations can cause impact oscillators to exhibit chaotic motions. Such dynamical behaviour can be described by a normal form map (called the Nordmark map). A main feature of the Nordmark map is that it has a square-root term. The purpose of this paper is to study the structure of the chaotic attractor of the Nordmark map from the topological point of view. First, the trapping region of the asymptotic dynamics of the map is constructed. It is then proven that, for some set of parameter values having positive Lebesgue measure, the ω -limit set of each point of the trapping region is contained in a invariant set which is just the closure of the unstable manifold of the hyperbolic fixed point of the map. Besides, the dynamics on the invariant set is topologically mixing. Accordingly the invariant set is a chaotic attractor of the map." @default.
- W2927399007 created "2019-04-11" @default.
- W2927399007 creator A5001371066 @default.
- W2927399007 creator A5019554559 @default.
- W2927399007 creator A5042570887 @default.
- W2927399007 creator A5060112370 @default.
- W2927399007 creator A5064824572 @default.
- W2927399007 date "2019-11-01" @default.
- W2927399007 modified "2023-10-14" @default.
- W2927399007 title "Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators" @default.
- W2927399007 cites W1969485390 @default.
- W2927399007 cites W1974520525 @default.
- W2927399007 cites W1984838918 @default.
- W2927399007 cites W1993145228 @default.
- W2927399007 cites W1998649787 @default.
- W2927399007 cites W2009303015 @default.
- W2927399007 cites W2011227277 @default.
- W2927399007 cites W2012069094 @default.
- W2927399007 cites W2014416969 @default.
- W2927399007 cites W2030450697 @default.
- W2927399007 cites W2031604902 @default.
- W2927399007 cites W2039391440 @default.
- W2927399007 cites W2042192623 @default.
- W2927399007 cites W2047494798 @default.
- W2927399007 cites W2049752618 @default.
- W2927399007 cites W2052987879 @default.
- W2927399007 cites W2058894160 @default.
- W2927399007 cites W2065198486 @default.
- W2927399007 cites W2077064374 @default.
- W2927399007 cites W2125161896 @default.
- W2927399007 cites W2159251357 @default.
- W2927399007 cites W2486417923 @default.
- W2927399007 cites W2743600518 @default.
- W2927399007 cites W4240580419 @default.
- W2927399007 cites W2091148925 @default.
- W2927399007 doi "https://doi.org/10.1016/j.physd.2019.03.007" @default.
- W2927399007 hasPublicationYear "2019" @default.
- W2927399007 type Work @default.
- W2927399007 sameAs 2927399007 @default.
- W2927399007 citedByCount "14" @default.
- W2927399007 countsByYear W29273990072020 @default.
- W2927399007 countsByYear W29273990072021 @default.
- W2927399007 countsByYear W29273990072022 @default.
- W2927399007 countsByYear W29273990072023 @default.
- W2927399007 crossrefType "journal-article" @default.
- W2927399007 hasAuthorship W2927399007A5001371066 @default.
- W2927399007 hasAuthorship W2927399007A5019554559 @default.
- W2927399007 hasAuthorship W2927399007A5042570887 @default.
- W2927399007 hasAuthorship W2927399007A5060112370 @default.
- W2927399007 hasAuthorship W2927399007A5064824572 @default.
- W2927399007 hasConcept C121332964 @default.
- W2927399007 hasConcept C121864883 @default.
- W2927399007 hasConcept C134306372 @default.
- W2927399007 hasConcept C154945302 @default.
- W2927399007 hasConcept C158622935 @default.
- W2927399007 hasConcept C164380108 @default.
- W2927399007 hasConcept C18903297 @default.
- W2927399007 hasConcept C2777052490 @default.
- W2927399007 hasConcept C2777904157 @default.
- W2927399007 hasConcept C2781349735 @default.
- W2927399007 hasConcept C33923547 @default.
- W2927399007 hasConcept C41008148 @default.
- W2927399007 hasConcept C62520636 @default.
- W2927399007 hasConcept C86803240 @default.
- W2927399007 hasConceptScore W2927399007C121332964 @default.
- W2927399007 hasConceptScore W2927399007C121864883 @default.
- W2927399007 hasConceptScore W2927399007C134306372 @default.
- W2927399007 hasConceptScore W2927399007C154945302 @default.
- W2927399007 hasConceptScore W2927399007C158622935 @default.
- W2927399007 hasConceptScore W2927399007C164380108 @default.
- W2927399007 hasConceptScore W2927399007C18903297 @default.
- W2927399007 hasConceptScore W2927399007C2777052490 @default.
- W2927399007 hasConceptScore W2927399007C2777904157 @default.
- W2927399007 hasConceptScore W2927399007C2781349735 @default.
- W2927399007 hasConceptScore W2927399007C33923547 @default.
- W2927399007 hasConceptScore W2927399007C41008148 @default.
- W2927399007 hasConceptScore W2927399007C62520636 @default.
- W2927399007 hasConceptScore W2927399007C86803240 @default.
- W2927399007 hasFunder F4320321001 @default.
- W2927399007 hasLocation W29273990071 @default.
- W2927399007 hasOpenAccess W2927399007 @default.
- W2927399007 hasPrimaryLocation W29273990071 @default.
- W2927399007 hasRelatedWork W1875969969 @default.
- W2927399007 hasRelatedWork W1986275855 @default.
- W2927399007 hasRelatedWork W2006798346 @default.
- W2927399007 hasRelatedWork W2009685707 @default.
- W2927399007 hasRelatedWork W2051984885 @default.
- W2927399007 hasRelatedWork W2075700314 @default.
- W2927399007 hasRelatedWork W2079805109 @default.
- W2927399007 hasRelatedWork W2091561093 @default.
- W2927399007 hasRelatedWork W2361024924 @default.
- W2927399007 hasRelatedWork W2950463112 @default.
- W2927399007 hasVolume "398" @default.
- W2927399007 isParatext "false" @default.
- W2927399007 isRetracted "false" @default.
- W2927399007 magId "2927399007" @default.
- W2927399007 workType "article" @default.