Lyapunov exponents for systems with unbounded coefficients†

Author: Czornik Adam   Niezabitowski Michał  

Publisher: Taylor & Francis Ltd

ISSN: 1468-9375

Source: Dynamical Systems: An International Journal, Vol.28, Iss.2, 2013-06, pp. : 140-153

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In this article we propose a generalization of the concept of Lyapunov exponents for discrete linear systems which may be used in the case of unbounded coefficients. We show some simplest properties of this generalization and apply it to define a generalization of regular system. Finally, we discuss the problem of stability by linear approximation. This article was originally published with an error. This version has been corrected. Please see Corrigendum (http://dx.doi.org/10.1080/14689367.2012.756700)