SO(n)-extensions of linear quasiperiodic systems

Title	SO(n)-extensions of linear quasiperiodic systems
Authors	A. N. Sakharov¹ ¹Nizhny Novgorod State Agrarian and Technological University named after L.Ya. Florentyev
Annotation	This paper examines differential equations on a multidimensional torus, resulting from the reduction of a linear system with real quasiperiodic coefficients to triangular form. Necessary and sufficient conditions for the structural stability of the original linear system are formulated. These conditions are determined by the properties of a topological invariant of the flow on the torus – the rotation vector.
Keywords	group extensions, rotation vector, triangular linear systems.
Citation	Sakharov A. N. ''SO(n)-extensions of linear quasiperiodic systems'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 203-207. Available at: https://conf.svmo.ru/files/2026/papers/paper106.pdf. - Date of access: 25.09.2026.