Analogues of Jacobi and Weyl Theorems for Infinite-Dimensional Tori
Dynamical Systems
2023-10-18 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
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 periodicity, non-wandering, ergodicity and transitivity of trajectories of an infinite-dimensional linear flow are obtained. It is shown that for infinite-dimensional linear flows there is a new type of trajectories that is absent in the finite-dimensional case.
Cite
@article{arxiv.2305.05929,
title = {Analogues of Jacobi and Weyl Theorems for Infinite-Dimensional Tori},
author = {V. Zh. Sakbaev and I. V. Volovich},
journal= {arXiv preprint arXiv:2305.05929},
year = {2023}
}
Comments
15 pages, 0 figures