Geodesic
Invariant Manifolds Revisited
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 428-446

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The first part of the paper is a survey of results obtained since 1993 and extending the scope of invariant manifold theory; most of them appear here under a better form than in the original papers. In the second part, we state and prove a new invariant theorem, whose proof involves a differential calculus on sequence spaces that are not Banach manifolds. 
@article{TM_2002_236_a43,
     author = {M. Chaperon},
     title = {Invariant {Manifolds} {Revisited}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a43/}
}
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M. Chaperon. Invariant Manifolds Revisited. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 428-446. http://geodesic.mathdoc.fr/item/TM_2002_236_a43/