2024/11/11 by M. A. Olshanetsky, Olshanetsky, M.
Medicine · #FOS: Physical sciences #Intracerebral and Subarachnoid Hemorrhage Research #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2411.06829
openalex publication_date 2024/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define the families of Kuramoto models (KM) related to bounded symmetric domains. The families include the Lohe unitary model and the spherical models as special cases. Our approach is based on the construction proposed by Watanabe and Strogats WS. We replace the Poincare disc and its S1 boundary in the WS construction on the bounded symmetric domains and on the its Bergman-Shilov (BS) boundaries. In Cartan classifications there are four classical domains of types I-IV. Here we consider the domains of types I,II and III. For a fixed domain there is a decreasing chain of the BS boundaries components. This leads to the KM families we described here.