Algebraic approach to the Kuramoto model
نویسندگان
چکیده
We study the Kuramoto model with attractive sine coupling. introduce a complex-valued matrix formulation whose argument coincides original dynamics. derive an exact solution for model, which permits analytical insight into individual realizations of model. The existence form provides key demonstration that, in some cases, reformulations nonlinear dynamics higher-order number fields may provide tractable approaches.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreve.104.l022201