Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics
This paper investigates the attractivity properties of the locked-in-phase equilibria set in oscillator networks, in the presence of multiple, non-commensurate communication delays. The dynamics that the oscillators are endowed with are in the form of nonlinear delay differential equations, with Kur...
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| Format: | Conference item |
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2006
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| _version_ | 1826290205885202432 |
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| author | Papachristodoulou, A Jadbabaie, A IEEE |
| author_facet | Papachristodoulou, A Jadbabaie, A IEEE |
| author_sort | Papachristodoulou, A |
| collection | OXFORD |
| description | This paper investigates the attractivity properties of the locked-in-phase equilibria set in oscillator networks, in the presence of multiple, non-commensurate communication delays. The dynamics that the oscillators are endowed with are in the form of nonlinear delay differential equations, with Kuramoto-type interactions. Using an appropriate LaSalle invariance principle we assess the attractivity properties of this set for arbitrary topology interconnections. We then show that this set is also asymptotically attracting even if the network topology is allowed to change. © 2006 IEEE. |
| first_indexed | 2024-03-07T02:40:37Z |
| format | Conference item |
| id | oxford-uuid:aa532b8d-2ffb-4547-97c3-5699a77b899c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:40:37Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:aa532b8d-2ffb-4547-97c3-5699a77b899c2022-03-27T03:14:15ZSynchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamicsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:aa532b8d-2ffb-4547-97c3-5699a77b899cSymplectic Elements at Oxford2006Papachristodoulou, AJadbabaie, AIEEEThis paper investigates the attractivity properties of the locked-in-phase equilibria set in oscillator networks, in the presence of multiple, non-commensurate communication delays. The dynamics that the oscillators are endowed with are in the form of nonlinear delay differential equations, with Kuramoto-type interactions. Using an appropriate LaSalle invariance principle we assess the attractivity properties of this set for arbitrary topology interconnections. We then show that this set is also asymptotically attracting even if the network topology is allowed to change. © 2006 IEEE. |
| spellingShingle | Papachristodoulou, A Jadbabaie, A IEEE Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics |
| title | Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics |
| title_full | Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics |
| title_fullStr | Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics |
| title_full_unstemmed | Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics |
| title_short | Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics |
| title_sort | synchonization in oscillator networks with heterogeneous delays switching topologies and nonlinear dynamics |
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