A strategy to control synchronized dynamics in swarmalator systems
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913591106469888 |
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| author | Sar, Gourab Kumar Anwar, Md Sayeed Moriamé, Martin Ghosh, Dibakar Carletti, Timoteo |
| author_facet | Sar, Gourab Kumar Anwar, Md Sayeed Moriamé, Martin Ghosh, Dibakar Carletti, Timoteo |
| contents | Synchronization forms the basis of many coordination phenomena in natural systems, enabling them to function cohesively and support their fundamental operations. However, there are scenarios where synchronization disrupts a system's proper functioning, necessitating mechanisms to control or suppress it. While several methods exist for controlling synchronization in non-spatially embedded oscillators, to the best of our knowledge no such strategies have been developed for swarmalators (oscillators that simultaneously move in space and synchronize in time). In this work, we address this gap by introducing a novel control strategy based on Hamiltonian control theory to suppress synchronization in a system of swarmalators confined to a one-dimensional space. The numerical investigations we performed, demonstrate that the proposed control strategy effectively suppresses synchronized dynamics within the swarmalator population. We studied the impact of the number of controlled swarmalators as well as the strength of the control term, in its original form and in a simplified one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A strategy to control synchronized dynamics in swarmalator systems Sar, Gourab Kumar Anwar, Md Sayeed Moriamé, Martin Ghosh, Dibakar Carletti, Timoteo Adaptation and Self-Organizing Systems Mathematical Physics Chaotic Dynamics Synchronization forms the basis of many coordination phenomena in natural systems, enabling them to function cohesively and support their fundamental operations. However, there are scenarios where synchronization disrupts a system's proper functioning, necessitating mechanisms to control or suppress it. While several methods exist for controlling synchronization in non-spatially embedded oscillators, to the best of our knowledge no such strategies have been developed for swarmalators (oscillators that simultaneously move in space and synchronize in time). In this work, we address this gap by introducing a novel control strategy based on Hamiltonian control theory to suppress synchronization in a system of swarmalators confined to a one-dimensional space. The numerical investigations we performed, demonstrate that the proposed control strategy effectively suppresses synchronized dynamics within the swarmalator population. We studied the impact of the number of controlled swarmalators as well as the strength of the control term, in its original form and in a simplified one. |
| title | A strategy to control synchronized dynamics in swarmalator systems |
| topic | Adaptation and Self-Organizing Systems Mathematical Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2411.19605 |