Abstract
In this article, the Morse spectrum is introduced for linear systems of nonautonomous difference equations. In contrast to the well-known Sacker–Sell spectrum, the exponential growth rates are not characterized for the whole system but for a suitable decomposition, given by the finest Morse decomposition. The theory of nonautonomous Morse decompositions is reviewed, and it is shown that the Sacker–Sell spectrum coincides with the Morse spectrum if the system has bounded growth. The observations in this paper can thus be seen as an alternative approach to Sacker–Sell spectral theory.
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