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- W1998618993 abstract "We give a new proof for the existence of a Ck-center manifold at a nonhyperbolic equilibrium point of a finite-dimensional vector field of class Ck. The problem is reduced to a fixed point problem on a scale of Banach spaces; these Banach spaces consist of mappings with a certain maximal exponential growth at infinity. We give conditions under which there is a unique fixed point depending differentiably on the parameters; the main difficulty is that the mappings under consideration become only differentiable after composition with appropriate embeddings on the scale of Banach spaces." @default.
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- W1998618993 date "1987-06-01" @default.
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- W1998618993 title "Center manifolds and contractions on a scale of Banach spaces" @default.
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- W1998618993 doi "https://doi.org/10.1016/0022-1236(87)90086-3" @default.
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