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2010

Computing Sacker-Sell spectra in Discrete Time Dynamical Systems

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Computing Sacker-Sell spectra in Discrete Time Dynamical Systems
In this paper we develop boundary value methods for detecting Sacker-Sell spectra in discrete time dynamical systems. The algorithms are advancements of earlier methods for computing projectors of exponential dichotomies. The first method is based on the projector residual P2 - P. If this residual is large, then the difference equation has no exponential dichotomy. Further criterions for detecting Sacker-Sell spectral intervals are the norm of endand midpoints of the solution of a specific boundary value problem. Refined error estimates for the underlying approximation process are given and the resulting algorithms are applied to an example with known continuous SackerSell spectrum, as well as to the variational equation along orbits of H
Thorsten Hüls
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where SIAMNUM
Authors Thorsten Hüls
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