COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS

Hüls T (2010)
SIAM Journal on Numerical Analysis 48(6): 2043-2064.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
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 P-2 - 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 end points and 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 Sacker-Sell spectrum, as well as to the variational equation along orbits of Henon's map.
Stichworte
boundary value problem; exponential dichotomy; dichotomy projectors; Sacker-Sell spectrum
Erscheinungsjahr
2010
Zeitschriftentitel
SIAM Journal on Numerical Analysis
Band
48
Ausgabe
6
Seite(n)
2043-2064
ISSN
0036-1429
Page URI
https://pub.uni-bielefeld.de/record/2003492

Zitieren

Hüls T. COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS. SIAM Journal on Numerical Analysis. 2010;48(6):2043-2064.
Hüls, T. (2010). COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS. SIAM Journal on Numerical Analysis, 48(6), 2043-2064. https://doi.org/10.1137/090754509
Hüls, T. (2010). COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS. SIAM Journal on Numerical Analysis 48, 2043-2064.
Hüls, T., 2010. COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS. SIAM Journal on Numerical Analysis, 48(6), p 2043-2064.
T. Hüls, “COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS”, SIAM Journal on Numerical Analysis, vol. 48, 2010, pp. 2043-2064.
Hüls, T.: COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS. SIAM Journal on Numerical Analysis. 48, 2043-2064 (2010).
Hüls, Thorsten. “COMPUTING SACKER-SELL SPECTRA IN DISCRETE TIME DYNAMICAL SYSTEMS”. SIAM Journal on Numerical Analysis 48.6 (2010): 2043-2064.

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