Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms
This paper examines the Turing patterns and the spatio-temporal chaos of non-autonomous systems defined on hypergraphs. The analytical conditions for Turing instability and Benjamin–Feir instability are obtained by linear stability analysis using new comparison principles. The comparison with pairwi...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2023-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acb5e1 |
| _version_ | 1797748733363879936 |
|---|---|
| author | Wen Wang Shutang Liu |
| author_facet | Wen Wang Shutang Liu |
| author_sort | Wen Wang |
| collection | DOAJ |
| description | This paper examines the Turing patterns and the spatio-temporal chaos of non-autonomous systems defined on hypergraphs. The analytical conditions for Turing instability and Benjamin–Feir instability are obtained by linear stability analysis using new comparison principles. The comparison with pairwise interactions is presented to reveal the effect of higher-order interactions on pattern formation. In addition, numerical simulations due to different non-autonomous mechanisms, such as time-varying diffusion coefficients, time-varying reaction kinetics and time-varying diffusion coupling are provided respectively, which verifies the efficiency of theoretical results. |
| first_indexed | 2024-03-12T16:10:04Z |
| format | Article |
| id | doaj.art-f26f049ca2b34fde846b8178af8d39f7 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:10:04Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-f26f049ca2b34fde846b8178af8d39f72023-08-09T14:12:46ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125202300810.1088/1367-2630/acb5e1Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanismsWen Wang0https://orcid.org/0000-0001-8808-5384Shutang Liu1https://orcid.org/0000-0003-2281-9378School of Mathematical Sciences, Ocean University of China , Qingdao 266100, People’s Republic of ChinaSchool of Control Science and Engineering, Shandong University , Jinan 250061, People’s Republic of ChinaThis paper examines the Turing patterns and the spatio-temporal chaos of non-autonomous systems defined on hypergraphs. The analytical conditions for Turing instability and Benjamin–Feir instability are obtained by linear stability analysis using new comparison principles. The comparison with pairwise interactions is presented to reveal the effect of higher-order interactions on pattern formation. In addition, numerical simulations due to different non-autonomous mechanisms, such as time-varying diffusion coefficients, time-varying reaction kinetics and time-varying diffusion coupling are provided respectively, which verifies the efficiency of theoretical results.https://doi.org/10.1088/1367-2630/acb5e1spatio-temporal patternshypergraphnon-autonomous systemTuring instabilityBenjamin–Feir instability |
| spellingShingle | Wen Wang Shutang Liu Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms New Journal of Physics spatio-temporal patterns hypergraph non-autonomous system Turing instability Benjamin–Feir instability |
| title | Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms |
| title_full | Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms |
| title_fullStr | Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms |
| title_full_unstemmed | Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms |
| title_short | Spatio-temporal patterns of non-autonomous systems on hypergraphs: Turing and Benjamin–Feir mechanisms |
| title_sort | spatio temporal patterns of non autonomous systems on hypergraphs turing and benjamin feir mechanisms |
| topic | spatio-temporal patterns hypergraph non-autonomous system Turing instability Benjamin–Feir instability |
| url | https://doi.org/10.1088/1367-2630/acb5e1 |
| work_keys_str_mv | AT wenwang spatiotemporalpatternsofnonautonomoussystemsonhypergraphsturingandbenjaminfeirmechanisms AT shutangliu spatiotemporalpatternsofnonautonomoussystemsonhypergraphsturingandbenjaminfeirmechanisms |