Projectivization of three-dimensional linear quasiperiodic systems

Title	Projectivization of three-dimensional linear quasiperiodic systems
Authors	A. N. Sakharov¹ ¹Nizhny Novgorod State Agrarian and Technological University
Annotation	To describe the dynamics of linear extensions of quasiperiodic flows, the group expansion method is used to bring system to a triangular form. In the case of a compact group this extension is equivalent to the projectivization of a linear system. Dynamics of the projective system is described in terms of rotation numbers based on the concept of asymptotic cycles by S. Shvartsman.
Keywords	linear extensions, projective extensions, rotation numbers, asymptotic cycles.
Citation	Sakharov A. N. ''Projectivization of three-dimensional linear quasiperiodic systems'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 177-181. Available at: https://conf.svmo.ru/files/2024/papers/paper33.pdf. - Date of access: 31.10.2025.