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Criticality of nonreciprocal phase oscillators with long-range interactions

  • Minwoo Bae
  • Hiroshi Kori
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Abstract

We study noisy identical Kuramoto-Sakaguchi oscillators with phase lag α∈[0,π/2), where α>0 induces nonreciprocal interactions. Numerical phase diagrams in the $(σ, α)$ plane in fully-connected graphs, formed by long-range weights tuned by σ on d-dimensional lattices, reveal a critical phase lag αc, below which spontaneous synchronization occurs. This critical phase lag decreases monotonically with σ. We characterize the critical behavior analytically using the dynamical renormalization group theory.

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Cite

BibTeXRIS
BibTeX
@misc{bae2026criticality,
  title = {{Criticality of nonreciprocal phase oscillators with long-range interactions}},
  author = {Minwoo Bae and Hiroshi Kori},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.16427},
  eprint = {2606.16427},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.16427},
}
RIS
TY  - UNPB
TI  - Criticality of nonreciprocal phase oscillators with long-range interactions
AU  - Minwoo Bae
AU  - Hiroshi Kori
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2606.16427
UR  - https://arxiv.org/abs/2606.16427
AB  - We study noisy identical Kuramoto-Sakaguchi oscillators with phase lag α∈[0,π/2), where α>0 induces nonreciprocal interactions. Numerical phase diagrams in the $(σ, α)$ plane in fully-connected graphs, formed by long-range weights tuned by σ on d-dimensional lattices, reveal a critical phase lag α_c, below which spontaneous synchronization occurs. This critical phase lag decreases monotonically with σ. We characterize the critical behavior analytically using the dynamical renormalization group theory.
ER  -