Bounded solutions of the finite and infinite-dimensional dynamical systems
Dynamical Systems
2014-11-13 v1 Classical Analysis and ODEs
Abstract
Invariant torus are constructed under assumption that the homogeneous system admits an exponential dichotomy on the semi-axes. The main result is closely related with the well-known Palmer's lemma and results of Boichuk A.A., Samoilenko A.M.
Keywords
Cite
@article{arxiv.1411.3248,
title = {Bounded solutions of the finite and infinite-dimensional dynamical systems},
author = {O. A. Pokutnyi},
journal= {arXiv preprint arXiv:1411.3248},
year = {2014}
}
Comments
exponential dichotomy, bounded solutions, invariant manifold