The parameterization method for invariant manifolds II: regularity with respect to parameters

By Xavier Cabré Vilagut, Ernest Fontich i Julià, R. Canosa. 2002

149 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/911aa9d9cc27378c97ab6c785da494607b5699cf

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Citations in the corpus

• The parameterization method for invariant manifolds III: overview and applications (2003, result): “We refer to [CFdlL03b] for rather sharp results along these lines.”
• GEOMETRIC PROPERTIES OF THE SCATTERING MAP OF A NORMALLY HYPERBOLIC INVARIANT MANIFOLD (2008, unknown): “The dependence on parameters of the derivatives of highly iterated functions were considered in [2,9].”
• Computation of maximal local (un)stable manifold patches by the parameterization method (2015, methodology): “In the present work we employ a functional analytic style of a-posteriori analysis in conjunction with the parameterization method of [5, 6, 2].”