Bounded solutions of the finite and infinite-dimensional dynamical systems

2014/11/12 by Oleksander A. Pokutnyi, Pokutnyi, O. A.
Mathematics · Physics and Astronomy · #34A05 #34C27 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1411.3248

openalex publication_date 2014/11/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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