Matches in SemOpenAlex for { <https://semopenalex.org/work/W4244567290> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4244567290 endingPage "386" @default.
- W4244567290 startingPage "377" @default.
- W4244567290 abstract "In this paper, the dynamics of Duffing-van der Pol oscillators under linear-plus-nonlinear position feedback control with two time delays is studied analytically and numerically. By the averaging method, together with truncation of Taylor expansions for those terms with time delay, the slow-flow equations are obtained from which the trivial and nontrivial solutions can be found. It is shown that the trivial solution can be stabilized by appropriate gain and time delay in linear feedback although it loses its stability via Hopf bifurcation and results in periodic solution for uncontrolled systems. And the stability of the trivial solution is independent of nonlinear feedback. Different from the case of the trivial solution, the stability of nontrivial solutions is also associated with nonlinear feedback besides linear feedback. Non-trivial solutions may lose their stability via saddle-node or Hopf bifurcation and the resulting response of the system may be quasi-periodic or chaotic. The feedback gains and time delays have great effects on the amplitude of the periodic solutions and their bifurcation control. The simulations, obtained by numerically integrating the original system, are in good agreement with the analytical results." @default.
- W4244567290 created "2022-05-12" @default.
- W4244567290 creator A5038081962 @default.
- W4244567290 creator A5067355120 @default.
- W4244567290 creator A5078526337 @default.
- W4244567290 date "2011-01-01" @default.
- W4244567290 modified "2023-10-15" @default.
- W4244567290 title "Response of the Duffing-Van der Pol Oscillator under Position Feedback Control with Two Time Delays" @default.
- W4244567290 doi "https://doi.org/10.1155/2011/340878" @default.
- W4244567290 hasPublicationYear "2011" @default.
- W4244567290 type Work @default.
- W4244567290 citedByCount "1" @default.
- W4244567290 countsByYear W42445672902022 @default.
- W4244567290 crossrefType "journal-article" @default.
- W4244567290 hasAuthorship W4244567290A5038081962 @default.
- W4244567290 hasAuthorship W4244567290A5067355120 @default.
- W4244567290 hasAuthorship W4244567290A5078526337 @default.
- W4244567290 hasBestOaLocation W42445672901 @default.
- W4244567290 hasConcept C10138342 @default.
- W4244567290 hasConcept C105795698 @default.
- W4244567290 hasConcept C106195933 @default.
- W4244567290 hasConcept C112972136 @default.
- W4244567290 hasConcept C119857082 @default.
- W4244567290 hasConcept C121332964 @default.
- W4244567290 hasConcept C132323500 @default.
- W4244567290 hasConcept C134306372 @default.
- W4244567290 hasConcept C154945302 @default.
- W4244567290 hasConcept C158622935 @default.
- W4244567290 hasConcept C162324750 @default.
- W4244567290 hasConcept C172435161 @default.
- W4244567290 hasConcept C198082294 @default.
- W4244567290 hasConcept C2775924081 @default.
- W4244567290 hasConcept C2781349735 @default.
- W4244567290 hasConcept C33923547 @default.
- W4244567290 hasConcept C41008148 @default.
- W4244567290 hasConcept C47446073 @default.
- W4244567290 hasConcept C62520636 @default.
- W4244567290 hasConcept C98010927 @default.
- W4244567290 hasConceptScore W4244567290C10138342 @default.
- W4244567290 hasConceptScore W4244567290C105795698 @default.
- W4244567290 hasConceptScore W4244567290C106195933 @default.
- W4244567290 hasConceptScore W4244567290C112972136 @default.
- W4244567290 hasConceptScore W4244567290C119857082 @default.
- W4244567290 hasConceptScore W4244567290C121332964 @default.
- W4244567290 hasConceptScore W4244567290C132323500 @default.
- W4244567290 hasConceptScore W4244567290C134306372 @default.
- W4244567290 hasConceptScore W4244567290C154945302 @default.
- W4244567290 hasConceptScore W4244567290C158622935 @default.
- W4244567290 hasConceptScore W4244567290C162324750 @default.
- W4244567290 hasConceptScore W4244567290C172435161 @default.
- W4244567290 hasConceptScore W4244567290C198082294 @default.
- W4244567290 hasConceptScore W4244567290C2775924081 @default.
- W4244567290 hasConceptScore W4244567290C2781349735 @default.
- W4244567290 hasConceptScore W4244567290C33923547 @default.
- W4244567290 hasConceptScore W4244567290C41008148 @default.
- W4244567290 hasConceptScore W4244567290C47446073 @default.
- W4244567290 hasConceptScore W4244567290C62520636 @default.
- W4244567290 hasConceptScore W4244567290C98010927 @default.
- W4244567290 hasFunder F4320321001 @default.
- W4244567290 hasIssue "1-2" @default.
- W4244567290 hasLocation W42445672901 @default.
- W4244567290 hasOpenAccess W4244567290 @default.
- W4244567290 hasPrimaryLocation W42445672901 @default.
- W4244567290 hasRelatedWork W27164081 @default.
- W4244567290 hasRelatedWork W40465060 @default.
- W4244567290 hasRelatedWork W586405 @default.
- W4244567290 hasRelatedWork W60048464 @default.
- W4244567290 hasRelatedWork W60387670 @default.
- W4244567290 hasRelatedWork W60531715 @default.
- W4244567290 hasRelatedWork W69355872 @default.
- W4244567290 hasRelatedWork W69438711 @default.
- W4244567290 hasRelatedWork W77596758 @default.
- W4244567290 hasRelatedWork W85155402 @default.
- W4244567290 hasVolume "18" @default.
- W4244567290 isParatext "false" @default.
- W4244567290 isRetracted "false" @default.
- W4244567290 workType "article" @default.