Title | Projectivization of three-dimensional linear quasiperiodic systems |
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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: 04.12.2024. |
© SVMO, National Research Mordovia State University, 2024
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