Synchronization in networks of mutually delay-coupled phase-locked loops
Electronic components that perform tasks in a concerted way rely on a common time reference. For instance, parallel computing demands synchronous clocking of multiple cores or processors to reliably carry out joint computations. Here, we show that mutually coupled phase-locked loops (PLLs) enable sy...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/11/113009 |
| _version_ | 1797751485464838144 |
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| author | Alexandros Pollakis Lucas Wetzel David J Jörg Wolfgang Rave Gerhard Fettweis Frank Jülicher |
| author_facet | Alexandros Pollakis Lucas Wetzel David J Jörg Wolfgang Rave Gerhard Fettweis Frank Jülicher |
| author_sort | Alexandros Pollakis |
| collection | DOAJ |
| description | Electronic components that perform tasks in a concerted way rely on a common time reference. For instance, parallel computing demands synchronous clocking of multiple cores or processors to reliably carry out joint computations. Here, we show that mutually coupled phase-locked loops (PLLs) enable synchronous clocking in large-scale systems with transmission delays. We present a phase description of coupled PLLs that includes filter kernels and delayed signal transmission. We find that transmission delays in the coupling enable the existence of stable synchronized states, while instantaneously coupled PLLs do not tend to synchronize. We show how filtering and transmission delays govern the collective frequency and the time scale of synchronization. |
| first_indexed | 2024-03-12T16:50:15Z |
| format | Article |
| id | doaj.art-11dbbede4b8a43d988be30a38d8ff9a3 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:50:15Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-11dbbede4b8a43d988be30a38d8ff9a32023-08-08T11:21:23ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161111300910.1088/1367-2630/16/11/113009Synchronization in networks of mutually delay-coupled phase-locked loopsAlexandros Pollakis0Lucas Wetzel1David J Jörg2Wolfgang Rave3Gerhard Fettweis4Frank Jülicher5Technische Universität Dresden , Vodafone Chair, Dresden, Germany; Center for Advancing Electronics Dresden cfAED , Dresden, GermanyMax Planck Institute for the Physics of Complex Systems , Dresden, Germany; Center for Advancing Electronics Dresden cfAED , Dresden, GermanyMax Planck Institute for the Physics of Complex Systems , Dresden, Germany; Center for Advancing Electronics Dresden cfAED , Dresden, GermanyTechnische Universität Dresden , Vodafone Chair, Dresden, Germany; Center for Advancing Electronics Dresden cfAED , Dresden, GermanyTechnische Universität Dresden , Vodafone Chair, Dresden, Germany; Center for Advancing Electronics Dresden cfAED , Dresden, GermanyMax Planck Institute for the Physics of Complex Systems , Dresden, Germany; Center for Advancing Electronics Dresden cfAED , Dresden, GermanyElectronic components that perform tasks in a concerted way rely on a common time reference. For instance, parallel computing demands synchronous clocking of multiple cores or processors to reliably carry out joint computations. Here, we show that mutually coupled phase-locked loops (PLLs) enable synchronous clocking in large-scale systems with transmission delays. We present a phase description of coupled PLLs that includes filter kernels and delayed signal transmission. We find that transmission delays in the coupling enable the existence of stable synchronized states, while instantaneously coupled PLLs do not tend to synchronize. We show how filtering and transmission delays govern the collective frequency and the time scale of synchronization.https://doi.org/10.1088/1367-2630/16/11/113009phase-locked loopstransmission delaysynchronizationmutual couplingfiltering05.45.Xt |
| spellingShingle | Alexandros Pollakis Lucas Wetzel David J Jörg Wolfgang Rave Gerhard Fettweis Frank Jülicher Synchronization in networks of mutually delay-coupled phase-locked loops New Journal of Physics phase-locked loops transmission delay synchronization mutual coupling filtering 05.45.Xt |
| title | Synchronization in networks of mutually delay-coupled phase-locked loops |
| title_full | Synchronization in networks of mutually delay-coupled phase-locked loops |
| title_fullStr | Synchronization in networks of mutually delay-coupled phase-locked loops |
| title_full_unstemmed | Synchronization in networks of mutually delay-coupled phase-locked loops |
| title_short | Synchronization in networks of mutually delay-coupled phase-locked loops |
| title_sort | synchronization in networks of mutually delay coupled phase locked loops |
| topic | phase-locked loops transmission delay synchronization mutual coupling filtering 05.45.Xt |
| url | https://doi.org/10.1088/1367-2630/16/11/113009 |
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