Phase chimera states on non-local hyperrings
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866908603812675584 |
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| author | Muolo, Riccardo Njougouo, Thierry Gambuzza, Lucia Valentina Carletti, Timoteo Frasca, Mattia |
| author_facet | Muolo, Riccardo Njougouo, Thierry Gambuzza, Lucia Valentina Carletti, Timoteo Frasca, Mattia |
| contents | Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to study chimera states in systems of identical oscillators, non-locally coupled through pairwise interactions. Nevertheless, there is an increasing evidence, also supported by available data, that complex systems are composed by multiple units experiencing many-body interactions, that can be modeled by using higher-order structures beyond the paradigm of classic pairwise networks. In this work we investigate whether phase chimera states appear in this framework, by focusing on a novel topology solely involving many-body, non-local and non-regular interactions, hereby named non-local d-hyperring, being (d+1) the order of the interactions. We present the theory by using the paradigmatic Stuart-Landau oscillators as node dynamics, and show that phase chimera states emerge in a variety of structures and with different coupling functions. For comparison, we show that, when higher-order interactions are "flattened" to pairwise ones, the chimera behavior is weaker and more elusive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15540 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phase chimera states on non-local hyperrings Muolo, Riccardo Njougouo, Thierry Gambuzza, Lucia Valentina Carletti, Timoteo Frasca, Mattia Pattern Formation and Solitons Statistical Mechanics Adaptation and Self-Organizing Systems Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to study chimera states in systems of identical oscillators, non-locally coupled through pairwise interactions. Nevertheless, there is an increasing evidence, also supported by available data, that complex systems are composed by multiple units experiencing many-body interactions, that can be modeled by using higher-order structures beyond the paradigm of classic pairwise networks. In this work we investigate whether phase chimera states appear in this framework, by focusing on a novel topology solely involving many-body, non-local and non-regular interactions, hereby named non-local d-hyperring, being (d+1) the order of the interactions. We present the theory by using the paradigmatic Stuart-Landau oscillators as node dynamics, and show that phase chimera states emerge in a variety of structures and with different coupling functions. For comparison, we show that, when higher-order interactions are "flattened" to pairwise ones, the chimera behavior is weaker and more elusive. |
| title | Phase chimera states on non-local hyperrings |
| topic | Pattern Formation and Solitons Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2310.15540 |