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math.DS2025
Measures and Trajectory Properties in Oscillator Systems
Vsevolod Sakbaev, Igor Volovich
This paper investigates the properties of trajectories in harmonic oscillator systems equipped with a point, absolutely continuous, or singular measure. As demonstrated in [30], in…
math.DS2023
Analogues of Jacobi and Weyl Theorems for Infinite-Dimensional Tori
V. Zh. Sakbaev, I. V. Volovich
Generalizations of the Jacobi and Weyl theorems on finite-dimensional linear flows to the case of linear flows on infinite-dimensional tori are presented. Conditions for periodicit…