FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4308658775> ?p ?o ?g. }

• W4308658775 endingPage "117422" @default.
• W4308658775 startingPage "117422" @default.
• W4308658775 abstract "The mechanism of bursting oscillations in high dimensional systems with the coupling of two scales is an open problem in nonlinear dynamics, since there may coexist stable attractors in the fast subsystem with different bifurcations. Here we consider the bursting oscillations in the normal form up to the third order of a vector field with triple Hopf bifurcation at origin. When slow-varying external excitation is introduced, with the increase of the exciting amplitude, Hopf bifurcations in the three sub-planes occur in turn, which leads to three stable limit cycles. The dynamics may evolve from a 2-D torus bursting oscillations with two-mode and three-mode, respectively, the mechanism of which can be presented by overlapping the transformed phase portrait and the equilibrium states as well as the bifurcations of the fast subsystem. Synchronization and non-synchronization between the state variables in different sub-planes can be observed, which is explained by the bifurcations. An interesting phenomenon is found that the three-mode bursting oscillations still behave in quasi-periodic type instead of high dimensional torus. The projections of the trajectory in the sub-planes alternate between quiescence and repetitive spiking state with the oscillating frequency approximated at the frequency of the corresponding limit cycle. • Triple Hopf bifurcation may result in stable limit cycle in sub-planes. • Behavior evolves from single-mode to three-mode bursting attractor. • Synchronization and non-synchronization between the state variables appear. • Non-resonance leads to quasi-periodic bursting oscillations. • Delay effect may cause disappearance of influence of associated bifurcations." @default.
• W4308658775 created "2022-11-13" @default.
• W4308658775 creator A5000921390 @default.
• W4308658775 creator A5020601354 @default.
• W4308658775 date "2023-02-01" @default.
• W4308658775 modified "2023-10-14" @default.
• W4308658775 title "Bursting oscillations with multiple modes in a vector field with triple Hopf bifurcation at origin" @default.
• W4308658775 cites W1582828056 @default.
• W4308658775 cites W1971657654 @default.
• W4308658775 cites W1972710510 @default.
• W4308658775 cites W1973827406 @default.
• W4308658775 cites W1985940938 @default.
• W4308658775 cites W2008937451 @default.
• W4308658775 cites W2016767879 @default.
• W4308658775 cites W2066552154 @default.
• W4308658775 cites W2089838023 @default.
• W4308658775 cites W2098267860 @default.
• W4308658775 cites W2118670845 @default.
• W4308658775 cites W2119443761 @default.
• W4308658775 cites W2233009745 @default.
• W4308658775 cites W2252327813 @default.
• W4308658775 cites W2314313576 @default.
• W4308658775 cites W2397410716 @default.
• W4308658775 cites W2412953627 @default.
• W4308658775 cites W2612216242 @default.
• W4308658775 cites W2903219101 @default.
• W4308658775 cites W2910975085 @default.
• W4308658775 cites W3042408689 @default.
• W4308658775 cites W3050435337 @default.
• W4308658775 cites W3093994026 @default.
• W4308658775 cites W3102876646 @default.
• W4308658775 cites W3106501297 @default.
• W4308658775 cites W3159244103 @default.
• W4308658775 cites W3175369621 @default.
• W4308658775 cites W4205368379 @default.
• W4308658775 cites W4205510169 @default.
• W4308658775 cites W4210537308 @default.
• W4308658775 cites W4213457592 @default.
• W4308658775 cites W4221078696 @default.
• W4308658775 cites W4221116243 @default.
• W4308658775 cites W4245184090 @default.
• W4308658775 cites W4295526211 @default.
• W4308658775 doi "https://doi.org/10.1016/j.jsv.2022.117422" @default.
• W4308658775 hasPublicationYear "2023" @default.
• W4308658775 type Work @default.
• W4308658775 citedByCount "4" @default.
• W4308658775 countsByYear W43086587752023 @default.
• W4308658775 crossrefType "journal-article" @default.
• W4308658775 hasAuthorship W4308658775A5000921390 @default.
• W4308658775 hasAuthorship W4308658775A5020601354 @default.
• W4308658775 hasConcept C101225446 @default.
• W4308658775 hasConcept C121332964 @default.
• W4308658775 hasConcept C134306372 @default.
• W4308658775 hasConcept C154945302 @default.
• W4308658775 hasConcept C155092403 @default.
• W4308658775 hasConcept C158622935 @default.
• W4308658775 hasConcept C169760540 @default.
• W4308658775 hasConcept C172435161 @default.
• W4308658775 hasConcept C174914120 @default.
• W4308658775 hasConcept C195221683 @default.
• W4308658775 hasConcept C202444582 @default.
• W4308658775 hasConcept C2775924081 @default.
• W4308658775 hasConcept C2781349735 @default.
• W4308658775 hasConcept C33923547 @default.
• W4308658775 hasConcept C41008148 @default.
• W4308658775 hasConcept C47446073 @default.
• W4308658775 hasConcept C57879066 @default.
• W4308658775 hasConcept C62520636 @default.
• W4308658775 hasConcept C74650414 @default.
• W4308658775 hasConcept C86803240 @default.
• W4308658775 hasConcept C91188154 @default.
• W4308658775 hasConcept C9652623 @default.
• W4308658775 hasConceptScore W4308658775C101225446 @default.
• W4308658775 hasConceptScore W4308658775C121332964 @default.
• W4308658775 hasConceptScore W4308658775C134306372 @default.
• W4308658775 hasConceptScore W4308658775C154945302 @default.
• W4308658775 hasConceptScore W4308658775C155092403 @default.
• W4308658775 hasConceptScore W4308658775C158622935 @default.
• W4308658775 hasConceptScore W4308658775C169760540 @default.
• W4308658775 hasConceptScore W4308658775C172435161 @default.
• W4308658775 hasConceptScore W4308658775C174914120 @default.
• W4308658775 hasConceptScore W4308658775C195221683 @default.
• W4308658775 hasConceptScore W4308658775C202444582 @default.
• W4308658775 hasConceptScore W4308658775C2775924081 @default.
• W4308658775 hasConceptScore W4308658775C2781349735 @default.
• W4308658775 hasConceptScore W4308658775C33923547 @default.
• W4308658775 hasConceptScore W4308658775C41008148 @default.
• W4308658775 hasConceptScore W4308658775C47446073 @default.
• W4308658775 hasConceptScore W4308658775C57879066 @default.
• W4308658775 hasConceptScore W4308658775C62520636 @default.
• W4308658775 hasConceptScore W4308658775C74650414 @default.
• W4308658775 hasConceptScore W4308658775C86803240 @default.
• W4308658775 hasConceptScore W4308658775C91188154 @default.
• W4308658775 hasConceptScore W4308658775C9652623 @default.
• W4308658775 hasFunder F4320321001 @default.
• W4308658775 hasLocation W43086587751 @default.
• W4308658775 hasOpenAccess W4308658775 @default.
• W4308658775 hasPrimaryLocation W43086587751 @default.

• next