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• W2608140959 abstract "Stable fiber bundles are important structures for understanding nonautonomous dynamics. These sets have a hierarchical structure ranging from stable to strong stable fibers. First, we compute corresponding structures for linear systems and prove an error estimate. The spectral concept of choice is the Sacker-Sell spectrum that is based on exponential dichotomies. Secondly, we tackle the nonlinear case and propose an algorithm for the numerical approximation of stable hierarchies in nonautonomous difference equations. This method generalizes the contour algorithm for computing stable fibers from [38,39]. It is based on Hadamard's graph transform and approximates fibers of the hierarchy by zero-contours of specific operators. We calculate fiber bundles and illustrate errors involved for several examples, including a nonautonomous Lorenz model." @default.
• W2608140959 created "2017-05-05" @default.
• W2608140959 creator A5062564873 @default.
• W2608140959 date "2017-01-01" @default.
• W2608140959 modified "2023-09-25" @default.
• W2608140959 title "Computing stable hierarchies of fiber bundles" @default.
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• W2608140959 doi "https://doi.org/10.3934/dcdsb.2017140" @default.
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