Matches in SemOpenAlex for { <https://semopenalex.org/work/W2051244735> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W2051244735 endingPage "055401" @default.
- W2051244735 startingPage "055401" @default.
- W2051244735 abstract "We consider the bifurcation control for the forced Zakharov?Kusnetsov (ZK) equation by means of delay feedback linear control terms. Using a perturbation method, we obtain two slow flow equations on the amplitude and phase of the response as well as external force?response and frequency?response curves for the fundamental resonance. We observe in the resonance response for the uncontrolled system a saddle?center bifurcation, jumps and hysteresis phenomena and, using energy considerations, we show the existence of closed orbits of the slow flow equations. A limit cycle corresponds to a two-period quasi-periodic modulated motion for the ZK equation and we demonstrate that, in certain cases, a second low frequency appears in addition to the forcing frequency and then stable two-period quasi-periodic motions are present with amplitudes depending on the initial conditions. The value of the low frequency depends on the amplitude of the external excitation. Subsequently, we compare the uncontrolled and controlled systems and, to reduce the amplitude peak of the fundamental resonance and to remove saddle?center bifurcations and two-period quasi-periodic motions, we find appropriate choices of the feedback gains and time delay." @default.
- W2051244735 created "2016-06-24" @default.
- W2051244735 creator A5022711099 @default.
- W2051244735 date "2010-04-28" @default.
- W2051244735 modified "2023-10-13" @default.
- W2051244735 title "Bifurcation control for the Zakharov–Kusnetsov equation" @default.
- W2051244735 cites W111342554 @default.
- W2051244735 cites W1482102742 @default.
- W2051244735 cites W153514320 @default.
- W2051244735 cites W1991945416 @default.
- W2051244735 cites W200840997 @default.
- W2051244735 cites W2008626960 @default.
- W2051244735 cites W2026246097 @default.
- W2051244735 cites W2038621931 @default.
- W2051244735 cites W2064261687 @default.
- W2051244735 cites W2082778842 @default.
- W2051244735 cites W2087050487 @default.
- W2051244735 cites W2092704371 @default.
- W2051244735 cites W2094913794 @default.
- W2051244735 cites W2126096723 @default.
- W2051244735 cites W2477244626 @default.
- W2051244735 cites W4254253375 @default.
- W2051244735 cites W69355872 @default.
- W2051244735 doi "https://doi.org/10.1088/0031-8949/81/05/055401" @default.
- W2051244735 hasPublicationYear "2010" @default.
- W2051244735 type Work @default.
- W2051244735 sameAs 2051244735 @default.
- W2051244735 citedByCount "1" @default.
- W2051244735 countsByYear W20512447352022 @default.
- W2051244735 crossrefType "journal-article" @default.
- W2051244735 hasAuthorship W2051244735A5022711099 @default.
- W2051244735 hasConcept C121332964 @default.
- W2051244735 hasConcept C158622935 @default.
- W2051244735 hasConcept C2781349735 @default.
- W2051244735 hasConcept C28826006 @default.
- W2051244735 hasConcept C33923547 @default.
- W2051244735 hasConcept C37914503 @default.
- W2051244735 hasConcept C62520636 @default.
- W2051244735 hasConceptScore W2051244735C121332964 @default.
- W2051244735 hasConceptScore W2051244735C158622935 @default.
- W2051244735 hasConceptScore W2051244735C2781349735 @default.
- W2051244735 hasConceptScore W2051244735C28826006 @default.
- W2051244735 hasConceptScore W2051244735C33923547 @default.
- W2051244735 hasConceptScore W2051244735C37914503 @default.
- W2051244735 hasConceptScore W2051244735C62520636 @default.
- W2051244735 hasIssue "5" @default.
- W2051244735 hasLocation W20512447351 @default.
- W2051244735 hasOpenAccess W2051244735 @default.
- W2051244735 hasPrimaryLocation W20512447351 @default.
- W2051244735 hasRelatedWork W2271181815 @default.
- W2051244735 hasRelatedWork W2902782467 @default.
- W2051244735 hasRelatedWork W2935759653 @default.
- W2051244735 hasRelatedWork W3105167352 @default.
- W2051244735 hasRelatedWork W3148032049 @default.
- W2051244735 hasRelatedWork W54078636 @default.
- W2051244735 hasRelatedWork W1501425562 @default.
- W2051244735 hasRelatedWork W2298861036 @default.
- W2051244735 hasRelatedWork W2954470139 @default.
- W2051244735 hasRelatedWork W3084825885 @default.
- W2051244735 hasVolume "81" @default.
- W2051244735 isParatext "false" @default.
- W2051244735 isRetracted "false" @default.
- W2051244735 magId "2051244735" @default.
- W2051244735 workType "article" @default.