A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps

Hüls T (2016)
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 15(2): 923-951.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
Stable fiber bundles are the nonautonomous analogue of stable manifolds, and these objects provide valuable information on the underlying dynamics. We propose an algorithm for their computation that applies to a wide class of models, including noninvertible and nonautonomous discrete time systems. Precise error estimates are provided, and fiber bundles are computed for several examples.
Stichworte
invariant fiber bundles; discrete time dynamical systems; noninvertible; and nonautonomous dynamics; numerical approximation; contour method
Erscheinungsjahr
2016
Zeitschriftentitel
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Band
15
Ausgabe
2
Seite(n)
923-951
ISSN
1536-0040
Page URI
https://pub.uni-bielefeld.de/record/2906737

Zitieren

Hüls T. A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 2016;15(2):923-951.
Hüls, T. (2016). A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 15(2), 923-951. https://doi.org/10.1137/140999815
Hüls, T. (2016). A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 15, 923-951.
Hüls, T., 2016. A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 15(2), p 923-951.
T. Hüls, “A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps”, SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, vol. 15, 2016, pp. 923-951.
Hüls, T.: A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 15, 923-951 (2016).
Hüls, Thorsten. “A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps”. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 15.2 (2016): 923-951.

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