Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes
Synchronization dynamics in the presence of higher order interactions is well represented through variations of the Kuramoto model and subject of current interest. Here, the authors study and characterize the behavior of the simplicial Kuramoto model with weights on any simplices and in the presence...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2022-08-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-022-00963-7 |
| _version_ | 1828150640678797312 |
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| author | Alexis Arnaudon Robert L. Peach Giovanni Petri Paul Expert |
| author_facet | Alexis Arnaudon Robert L. Peach Giovanni Petri Paul Expert |
| author_sort | Alexis Arnaudon |
| collection | DOAJ |
| description | Synchronization dynamics in the presence of higher order interactions is well represented through variations of the Kuramoto model and subject of current interest. Here, the authors study and characterize the behavior of the simplicial Kuramoto model with weights on any simplices and in the presence of linear and nonlinear frustration, defined as the simplicial Sakaguchi-Kuramoto model. |
| first_indexed | 2024-04-11T21:46:10Z |
| format | Article |
| id | doaj.art-c8a61d95df604f1787c204adfbe7e619 |
| institution | Directory Open Access Journal |
| issn | 2399-3650 |
| language | English |
| last_indexed | 2024-04-11T21:46:10Z |
| publishDate | 2022-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Communications Physics |
| spelling | doaj.art-c8a61d95df604f1787c204adfbe7e6192022-12-22T04:01:24ZengNature PortfolioCommunications Physics2399-36502022-08-015111210.1038/s42005-022-00963-7Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexesAlexis Arnaudon0Robert L. Peach1Giovanni Petri2Paul Expert3Department of Mathematics, Imperial CollegeDepartment of Mathematics, Imperial CollegeCENTAIGlobal Business School for Health, University CollegeSynchronization dynamics in the presence of higher order interactions is well represented through variations of the Kuramoto model and subject of current interest. Here, the authors study and characterize the behavior of the simplicial Kuramoto model with weights on any simplices and in the presence of linear and nonlinear frustration, defined as the simplicial Sakaguchi-Kuramoto model.https://doi.org/10.1038/s42005-022-00963-7 |
| spellingShingle | Alexis Arnaudon Robert L. Peach Giovanni Petri Paul Expert Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes Communications Physics |
| title | Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes |
| title_full | Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes |
| title_fullStr | Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes |
| title_full_unstemmed | Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes |
| title_short | Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes |
| title_sort | connecting hodge and sakaguchi kuramoto through a mathematical framework for coupled oscillators on simplicial complexes |
| url | https://doi.org/10.1038/s42005-022-00963-7 |
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