Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays
We introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time delays. We demonstrate that time delays shape the spectrum of a matrix associated with the system, leading to the emergence of waves with a...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.013159 |
| _version_ | 1797210497051787264 |
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| author | Roberto C. Budzinski Tung T. Nguyen Gabriel B. Benigno Jacqueline Đoàn Ján Mináč Terrence J. Sejnowski Lyle E. Muller |
| author_facet | Roberto C. Budzinski Tung T. Nguyen Gabriel B. Benigno Jacqueline Đoàn Ján Mináč Terrence J. Sejnowski Lyle E. Muller |
| author_sort | Roberto C. Budzinski |
| collection | DOAJ |
| description | We introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time delays. We demonstrate that time delays shape the spectrum of a matrix associated with the system, leading to the emergence of waves with a preferred direction. We then create analytical predictions for the specific spatiotemporal patterns observed in individual simulations of time-delayed Kuramoto networks. This approach generalizes to systems with heterogeneous time delays at finite scales, which permits the study of spatiotemporal dynamics in a broad range of applications. |
| first_indexed | 2024-04-24T10:11:32Z |
| format | Article |
| id | doaj.art-2ecae84242894f599acb0ca958072f61 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:32Z |
| publishDate | 2023-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-2ecae84242894f599acb0ca958072f612024-04-12T17:29:01ZengAmerican Physical SocietyPhysical Review Research2643-15642023-03-015101315910.1103/PhysRevResearch.5.013159Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delaysRoberto C. BudzinskiTung T. NguyenGabriel B. BenignoJacqueline ĐoànJán MináčTerrence J. SejnowskiLyle E. MullerWe introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time delays. We demonstrate that time delays shape the spectrum of a matrix associated with the system, leading to the emergence of waves with a preferred direction. We then create analytical predictions for the specific spatiotemporal patterns observed in individual simulations of time-delayed Kuramoto networks. This approach generalizes to systems with heterogeneous time delays at finite scales, which permits the study of spatiotemporal dynamics in a broad range of applications.http://doi.org/10.1103/PhysRevResearch.5.013159 |
| spellingShingle | Roberto C. Budzinski Tung T. Nguyen Gabriel B. Benigno Jacqueline Đoàn Ján Mináč Terrence J. Sejnowski Lyle E. Muller Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays Physical Review Research |
| title | Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays |
| title_full | Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays |
| title_fullStr | Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays |
| title_full_unstemmed | Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays |
| title_short | Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays |
| title_sort | analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance dependent time delays |
| url | http://doi.org/10.1103/PhysRevResearch.5.013159 |
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