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Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous state — arXiv:2403.15922

Source: arXiv (en)
Original: https://arxiv.org/abs/2403.15922
License (as archived): CC0-1.0
Archived: 2026-10-18T20:08:02.522Z
SHA-256 of the archived text: ef5949e6fb20415838ff452ee98e1e1ce0279291846bd30e5d63b21fa13c54ab
Stable URL of this page: https://metraipolis.com/documento/dc_ade11ea50374

How to cite

Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous state — arXiv:2403.15922 — arXiv (en), https://arxiv.org/abs/2403.15922 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ade11ea50374 (Metraipolis archive dc_ade11ea50374, sha256 ef5949e6fb20415838ff452ee98e1e1ce0279291846bd30e5d63b21fa13c54ab)

BibTeX

@misc{dcade11ea50374,
  title = {Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous state — arXiv:2403.15922},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2403.15922},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ade11ea50374; sha256 ef5949e6fb20415838ff452ee98e1e1ce0279291846bd30e5d63b21fa13c54ab},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2403.15922. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The Kuramoto model has provided deep insights into synchronization phenomena and remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its success, the asynchronous regime in the Kuramoto model has received limited attention. Here, we adapt and enhance the mean-field approach originally proposed by Stiller and Radons [Phys. Rev. E 58 (1998)] to study the asynchronous state in the Kuramoto model with a finite number of oscillators and with disordered connectivity. By employing an iterative stochastic mean field (IMF) approximation, the complex N-oscillator system can effectively be reduced to a one-dimensional dynamics, both for homogeneous and heterogeneous networks. This method allows us to investigate the power spectra of individual oscillators as well as of the multiplicative "network noise" in the Kuramoto model in the asynchronous regime. By taking into account the finite system size and disorder in the connectivity, our findings become relevant for the dynamics of coupled oscillators that appear in the context of biological or technical systems.

Tema degli esploratori: statistica e scienza dei dati (retro-catalogo arXiv: annunci del 2026-08-18 in stat.CO).
Categorie arXiv: Mathematical Physics (math-ph) ; Chaotic Dynamics (nlin.CD); Computational Physics (physics.comp-ph); Computation (stat.CO).
Pagina del lavoro: https://arxiv.org/abs/2403.15922 — 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 2026-10-18T19:44:50.157Z dalla pagina https://arxiv.org/catchup/stat.CO/2026-08-18?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).