Evolutionary Kuramoto dynamics unravels origins of chimera states in neural populations
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913125088886784 |
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| author | Zdyrski, Thomas Pauls, Scott Fu, Feng |
| author_facet | Zdyrski, Thomas Pauls, Scott Fu, Feng |
| contents | Neural synchronization is central to cognition However, incomplete synchronization often produces chimera states where coherent and incoherent dynamics coexist. While previous studies have explored such patterns using networks of coupled oscillators, it remains unclear why neurons commit to communication or how chimera states persist. Here, we investigate the coevolution of neuronal phases and communication strategies on directed, weighted networks, where interaction payoffs depend on phase alignment and may be asymmetric due to unilateral communication. We find that both connection weights and directionality influence the stability of communicative strategies -- and, consequently, full synchronization -- as well as the strategic nature of neuronal interactions. Applying our framework to the C. elegans connectome, we show that emergent payoff structures, such as the snowdrift game, underpin the formation of chimera states. Our computational results demonstrate a promising neurogame-theoretic perspective, leveraging evolutionary graph theory to shed light on mechanisms of neuronal coordination beyond classical synchronization models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Evolutionary Kuramoto dynamics unravels origins of chimera states in neural populations Zdyrski, Thomas Pauls, Scott Fu, Feng Neurons and Cognition 91A22 (Primary) 92C42, 05C90 (Secondary) Neural synchronization is central to cognition However, incomplete synchronization often produces chimera states where coherent and incoherent dynamics coexist. While previous studies have explored such patterns using networks of coupled oscillators, it remains unclear why neurons commit to communication or how chimera states persist. Here, we investigate the coevolution of neuronal phases and communication strategies on directed, weighted networks, where interaction payoffs depend on phase alignment and may be asymmetric due to unilateral communication. We find that both connection weights and directionality influence the stability of communicative strategies -- and, consequently, full synchronization -- as well as the strategic nature of neuronal interactions. Applying our framework to the C. elegans connectome, we show that emergent payoff structures, such as the snowdrift game, underpin the formation of chimera states. Our computational results demonstrate a promising neurogame-theoretic perspective, leveraging evolutionary graph theory to shed light on mechanisms of neuronal coordination beyond classical synchronization models. |
| title | Evolutionary Kuramoto dynamics unravels origins of chimera states in neural populations |
| topic | Neurons and Cognition 91A22 (Primary) 92C42, 05C90 (Secondary) |
| url | https://arxiv.org/abs/2510.00423 |