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Synchronization transitions in Kuramoto oscillators with mixed interactions — arXiv:2611.09564

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.09564
License (as archived): CC0-1.0
Archived: 2026-11-09T22:53:02.039Z
SHA-256 of the archived text: 4769d382e04669655ed0f48443a6cd6500f4375889add611a50ecc94fa04b13a
Stable URL of this page: https://metraipolis.com/documento/dc_d7948997ca94

How to cite

Synchronization transitions in Kuramoto oscillators with mixed interactions — arXiv:2611.09564 — arXiv (en), https://arxiv.org/abs/2611.09564 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_d7948997ca94 (Metraipolis archive dc_d7948997ca94, sha256 4769d382e04669655ed0f48443a6cd6500f4375889add611a50ecc94fa04b13a)

BibTeX

@misc{dcd7948997ca94,
  title = {Synchronization transitions in Kuramoto oscillators with mixed interactions — arXiv:2611.09564},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.09564},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_d7948997ca94; sha256 4769d382e04669655ed0f48443a6cd6500f4375889add611a50ecc94fa04b13a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.09564. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The Kuramoto model is a paradigmatic system for emergent synchronization phenomena, and significant efforts have been made to investigate its transition from incoherent to coherent dynamics. However, previous studies have almost exclusively assumed global coupling between the oscillators, even though many real-world systems are organized in specific network structures. Here, we fill this gap by examining finite-size effects in Kuramoto oscillator ensembles on networks with mixed-order interactions. Using numerical simulations, we show how parameters such as the size of the system, the average degree of the nodes and the strength of the interactions alter the behaviour of the transition to synchronization with respect to the known theoretical results that are derived for globally coupled infinite systems.

Tema degli esploratori: fisica e astronomia (elenco arXiv cond-mat.dis-nn, nuovi lavori del giorno).
Categorie arXiv: Chaotic Dynamics (nlin.CD) ; Disordered Systems and Neural Networks (cond-mat.dis-nn); Dynamical Systems (math.DS).
Pagina del lavoro: https://arxiv.org/abs/2611.09564 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-09T22:47:30.092Z dalla pagina https://arxiv.org/list/cond-mat.dis-nn/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).