ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 69,   2   (2000)
pp.   215-227

ON $C^j$-CLOSENESS OF INVARIANT FOLIATIONS UNDER NUMERICS
G. FARKAS


Abstract.  In this paper we show that invariant center-unstable foliations are preserved in the $C^j$-topology under numerical approximations. Results on partial linearization are also given.

AMS subject classification.  34C30, 65L05
Keywords.  Invariant foliation, discretization, $C^j$-closeness

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