Global synchronization on time-varying higher-order structures
Synchronization has received a lot of attention from the scientific community for systems evolving on static networks or higher-order structures, such as hypergraphs and simplicial complexes. In many relevant real-world applications, the latter are not static but do evolve in time, in this work we t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | Journal of Physics: Complexity |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2632-072X/ad3262 |
| _version_ | 1797253686132473856 |
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| author | Md Sayeed Anwar Dibakar Ghosh Timoteo Carletti |
| author_facet | Md Sayeed Anwar Dibakar Ghosh Timoteo Carletti |
| author_sort | Md Sayeed Anwar |
| collection | DOAJ |
| description | Synchronization has received a lot of attention from the scientific community for systems evolving on static networks or higher-order structures, such as hypergraphs and simplicial complexes. In many relevant real-world applications, the latter are not static but do evolve in time, in this work we thus discuss the impact of the time-varying nature of higher-order structures in the emergence of global synchronization. To achieve this goal, we extend the master stability formalism to account, in a general way, for the additional contributions arising from the time evolution of the higher-order structure supporting the dynamical systems. The theory is successfully challenged against two illustrative examples, the Stuart–Landau nonlinear oscillator and the Lorenz chaotic oscillator. |
| first_indexed | 2024-04-24T21:38:00Z |
| format | Article |
| id | doaj.art-14eb33dc6d634433952c76cc7ac0b17f |
| institution | Directory Open Access Journal |
| issn | 2632-072X |
| language | English |
| last_indexed | 2024-04-24T21:38:00Z |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics: Complexity |
| spelling | doaj.art-14eb33dc6d634433952c76cc7ac0b17f2024-03-21T12:49:37ZengIOP PublishingJournal of Physics: Complexity2632-072X2024-01-015101502010.1088/2632-072X/ad3262Global synchronization on time-varying higher-order structuresMd Sayeed Anwar0https://orcid.org/0000-0002-3846-2601Dibakar Ghosh1https://orcid.org/0000-0003-4832-5210Timoteo Carletti2https://orcid.org/0000-0003-2596-4503Physics and Applied Mathematics Unit, Indian Statistical Institute , 203 B. T. Road, Kolkata 700108, IndiaPhysics and Applied Mathematics Unit, Indian Statistical Institute , 203 B. T. Road, Kolkata 700108, IndiaDepartment of Mathematics and Namur Institute for Complex Systems, naXys, University of Namur , 2 rue Grafé, Namur B5000, BelgiumSynchronization has received a lot of attention from the scientific community for systems evolving on static networks or higher-order structures, such as hypergraphs and simplicial complexes. In many relevant real-world applications, the latter are not static but do evolve in time, in this work we thus discuss the impact of the time-varying nature of higher-order structures in the emergence of global synchronization. To achieve this goal, we extend the master stability formalism to account, in a general way, for the additional contributions arising from the time evolution of the higher-order structure supporting the dynamical systems. The theory is successfully challenged against two illustrative examples, the Stuart–Landau nonlinear oscillator and the Lorenz chaotic oscillator.https://doi.org/10.1088/2632-072X/ad3262synchronizationstemporal networkhigher-order networkmaster stability function |
| spellingShingle | Md Sayeed Anwar Dibakar Ghosh Timoteo Carletti Global synchronization on time-varying higher-order structures Journal of Physics: Complexity synchronizations temporal network higher-order network master stability function |
| title | Global synchronization on time-varying higher-order structures |
| title_full | Global synchronization on time-varying higher-order structures |
| title_fullStr | Global synchronization on time-varying higher-order structures |
| title_full_unstemmed | Global synchronization on time-varying higher-order structures |
| title_short | Global synchronization on time-varying higher-order structures |
| title_sort | global synchronization on time varying higher order structures |
| topic | synchronizations temporal network higher-order network master stability function |
| url | https://doi.org/10.1088/2632-072X/ad3262 |
| work_keys_str_mv | AT mdsayeedanwar globalsynchronizationontimevaryinghigherorderstructures AT dibakarghosh globalsynchronizationontimevaryinghigherorderstructures AT timoteocarletti globalsynchronizationontimevaryinghigherorderstructures |