Approximation to invariant manifolds under pseudo-hyperbolicity (Q2796892)

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scientific article; zbMATH DE number 6561172
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Approximation to invariant manifolds under pseudo-hyperbolicity
scientific article; zbMATH DE number 6561172

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    Approximation to invariant manifolds under pseudo-hyperbolicity (English)
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    30 March 2016
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    invariant manifold
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    pseudo-hyperbolicity
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    approximation
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    locality radius
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    A method to approximate invariant manifolds which are obtained under pseudo-hyperbolicity is reported in the paper. Besides the approximation of such manifolds at a possibly higher order, the authors obtain also an estimation, for non-local bifurcations, of the lower bound of their locality radius such that the approximation is valid. An approach based on the contraction mapping principle in Banach spaces is used.
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