SU(2) extensions of quasiperiodic flows

Title	SU(2) extensions of quasiperiodic flows
Authors	A. N. Sakharov¹ ¹Derzhavin Tambov State University
Annotation	The report examines the structure of a system on a multidimensional torus, obtained as a result of reducing a second-order linear system with complex quasiperiodic coefficients to a triangular form. The description of this structure allows us to formulate necessary and sufficient conditions for the structural stability of the original linear system. These conditions are determined by the properties of the topological invariant of the flow on the torus - the rotation vector.
Keywords	linear extensions of flows on a torus, group extensions, rotation vector.
Citation	Sakharov A. N. ''SU(2) extensions of quasiperiodic flows'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 234-238. Available at: https://conf.svmo.ru/files/2025/papers/paper47.pdf. - Date of access: 30.08.2025.