Existence of C^{K}-invariant foliations for Lorenz type maps

preprint2016arXivOpen access

Abstract

In this paper under similar conditions to that Shaskov and Shil'nikov [1994] we show that a C^{k+1} Lorenz-type map T has a C^{k} foliation which is invariant under T. This allows us to associate T to a C^{k} one-dimensional transformation.

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