Lyapunov spectra behavior for linear discrete-time systems under small perturbations

Autor:	Czornik, Adam, Makarov, Evgenii, Niezabitowski, Michal, Popova, Svetlana, Zaitsev, Vasilii
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems 39A06 39A22 39A30
Druh dokumentu:	Working Paper
Popis:	We investigate the behavior of the Lyapunov spectrum of a linear discrete-time system under the action of small perturbations in order to obtain some verifiable conditions for stability and openness of the Lyapunov spectrum. To this end we introduce the concepts of broken away solutions and splitted systems. The main results obtained are a necessary condition for stability and a sufficient condition for the openness of the Lyapunov spectrum, which is given in terms of the system itself. Finally, examples of using the obtained results are presented. Comment: Submitted to Discrete & Continuous Dynamical Systems - Series B
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.14691 Zobrazit plný text záznamu View this record from Arxiv