Fourier–Taylor Approximation of Unstable Manifolds for Compact Maps: Numerical Implementation and Computer-Assisted Error Bounds
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DOI: 10.1007/s10208-016-9325-9
Abstract: We develop and implement a semi-numerical method for computing high-order Taylor approximations of unstable manifolds for hyperbolic fixed points of compact infinite-dimensional maps. The method can follow folds in the embedding and describes precisely the… read more here.
Keywords: error bounds; computer assisted; unstable manifolds; taylor approximation ... See more keywords