Matches in SemOpenAlex for { <https://semopenalex.org/work/W2001326083> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2001326083 endingPage "483" @default.
- W2001326083 startingPage "475" @default.
- W2001326083 abstract "Delayed dynamical systems appear in many areas of science and engineering. Analysis of general nonlinear delayed systems often begins with the linearized delay differential equation (DDE). The study of these linearized constant coefficient DDEs involves transcendental characteristic equations, which have infinitely many complex roots not obtainable in closed form. Here, after motivating our study with a well-known delayed dynamical system model for tool vibrations in metal cutting, we obtain asymptotic expressions for the large characteristic roots of several delayed systems. These include first- and second-order DDEs with single delays, and a first-order DDE with distributed as well as multiple incommensurate delays. For reasonable magnitudes of the coefficients of the DDEs, the approximations in each case are very good. Subsequently, a fourth delayed system involving coefficients of disparate magnitude is analyzed using an alternative asymptotic strategy. Finally, the large root asymptotics are complemented with calculations using Padé approximants to find all the roots of these systems." @default.
- W2001326083 created "2016-06-24" @default.
- W2001326083 creator A5020129235 @default.
- W2001326083 creator A5052163644 @default.
- W2001326083 date "2004-10-29" @default.
- W2001326083 modified "2023-10-18" @default.
- W2001326083 title "Asymptotics for the Characteristic Roots of Delayed Dynamic Systems" @default.
- W2001326083 cites W1484776651 @default.
- W2001326083 cites W1570543819 @default.
- W2001326083 cites W1966447004 @default.
- W2001326083 cites W1980506637 @default.
- W2001326083 cites W1986905607 @default.
- W2001326083 cites W2007456116 @default.
- W2001326083 cites W2016881008 @default.
- W2001326083 cites W2045256358 @default.
- W2001326083 cites W2045964614 @default.
- W2001326083 cites W2072941337 @default.
- W2001326083 cites W2081827062 @default.
- W2001326083 cites W2087687453 @default.
- W2001326083 cites W2094910930 @default.
- W2001326083 cites W2117540368 @default.
- W2001326083 cites W3134345462 @default.
- W2001326083 cites W4206534855 @default.
- W2001326083 cites W4210960242 @default.
- W2001326083 cites W4211202937 @default.
- W2001326083 cites W437112863 @default.
- W2001326083 cites W2051189712 @default.
- W2001326083 doi "https://doi.org/10.1115/1.1875492" @default.
- W2001326083 hasPublicationYear "2004" @default.
- W2001326083 type Work @default.
- W2001326083 sameAs 2001326083 @default.
- W2001326083 citedByCount "9" @default.
- W2001326083 countsByYear W20013260832014 @default.
- W2001326083 countsByYear W20013260832015 @default.
- W2001326083 countsByYear W20013260832018 @default.
- W2001326083 countsByYear W20013260832019 @default.
- W2001326083 countsByYear W20013260832021 @default.
- W2001326083 countsByYear W20013260832023 @default.
- W2001326083 crossrefType "journal-article" @default.
- W2001326083 hasAuthorship W2001326083A5020129235 @default.
- W2001326083 hasAuthorship W2001326083A5052163644 @default.
- W2001326083 hasConcept C121332964 @default.
- W2001326083 hasConcept C134306372 @default.
- W2001326083 hasConcept C139609574 @default.
- W2001326083 hasConcept C147504518 @default.
- W2001326083 hasConcept C158622935 @default.
- W2001326083 hasConcept C199360897 @default.
- W2001326083 hasConcept C2777027219 @default.
- W2001326083 hasConcept C28826006 @default.
- W2001326083 hasConcept C33923547 @default.
- W2001326083 hasConcept C41008148 @default.
- W2001326083 hasConcept C43321923 @default.
- W2001326083 hasConcept C53744967 @default.
- W2001326083 hasConcept C62520636 @default.
- W2001326083 hasConcept C78045399 @default.
- W2001326083 hasConcept C79379906 @default.
- W2001326083 hasConceptScore W2001326083C121332964 @default.
- W2001326083 hasConceptScore W2001326083C134306372 @default.
- W2001326083 hasConceptScore W2001326083C139609574 @default.
- W2001326083 hasConceptScore W2001326083C147504518 @default.
- W2001326083 hasConceptScore W2001326083C158622935 @default.
- W2001326083 hasConceptScore W2001326083C199360897 @default.
- W2001326083 hasConceptScore W2001326083C2777027219 @default.
- W2001326083 hasConceptScore W2001326083C28826006 @default.
- W2001326083 hasConceptScore W2001326083C33923547 @default.
- W2001326083 hasConceptScore W2001326083C41008148 @default.
- W2001326083 hasConceptScore W2001326083C43321923 @default.
- W2001326083 hasConceptScore W2001326083C53744967 @default.
- W2001326083 hasConceptScore W2001326083C62520636 @default.
- W2001326083 hasConceptScore W2001326083C78045399 @default.
- W2001326083 hasConceptScore W2001326083C79379906 @default.
- W2001326083 hasIssue "4" @default.
- W2001326083 hasLocation W20013260831 @default.
- W2001326083 hasOpenAccess W2001326083 @default.
- W2001326083 hasPrimaryLocation W20013260831 @default.
- W2001326083 hasRelatedWork W1995005709 @default.
- W2001326083 hasRelatedWork W2001326083 @default.
- W2001326083 hasRelatedWork W2006006681 @default.
- W2001326083 hasRelatedWork W2010668255 @default.
- W2001326083 hasRelatedWork W2014550429 @default.
- W2001326083 hasRelatedWork W2074588799 @default.
- W2001326083 hasRelatedWork W2161969819 @default.
- W2001326083 hasRelatedWork W2374730089 @default.
- W2001326083 hasRelatedWork W2389707690 @default.
- W2001326083 hasRelatedWork W2563969005 @default.
- W2001326083 hasVolume "72" @default.
- W2001326083 isParatext "false" @default.
- W2001326083 isRetracted "false" @default.
- W2001326083 magId "2001326083" @default.
- W2001326083 workType "article" @default.