Dynamics of pulsating swarmalators on a ring
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917992710799360 |
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| author | Ghosh, Samali O'Keeffe, Kevin Sar, Gourab Kumar Ghosh, Dibakar |
| author_facet | Ghosh, Samali O'Keeffe, Kevin Sar, Gourab Kumar Ghosh, Dibakar |
| contents | We study a simple one-dimensional model of swarmalators, a generalization of phase oscillators that swarm around in space as well as synchronize internal oscillations in time. Previous studies of the model focused on Kuramoto-type couplings, where the phase interactions are governed by phase differences. Here we consider Winfree-type coupling, where the interactions are multiplicative, determined by the product of a phase response function $R(θ)$ and phase pulse function $P(θ)$. This more general interaction (from which the Kuramoto phase differences emerge after averaging) produces rich physics: six long-term modes of organization are found, which we characterize numerically and analytically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics of pulsating swarmalators on a ring Ghosh, Samali O'Keeffe, Kevin Sar, Gourab Kumar Ghosh, Dibakar Adaptation and Self-Organizing Systems Mathematical Physics We study a simple one-dimensional model of swarmalators, a generalization of phase oscillators that swarm around in space as well as synchronize internal oscillations in time. Previous studies of the model focused on Kuramoto-type couplings, where the phase interactions are governed by phase differences. Here we consider Winfree-type coupling, where the interactions are multiplicative, determined by the product of a phase response function $R(θ)$ and phase pulse function $P(θ)$. This more general interaction (from which the Kuramoto phase differences emerge after averaging) produces rich physics: six long-term modes of organization are found, which we characterize numerically and analytically. |
| title | Dynamics of pulsating swarmalators on a ring |
| topic | Adaptation and Self-Organizing Systems Mathematical Physics |
| url | https://arxiv.org/abs/2504.14912 |