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arXiv · 1501.05692

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

Daniel Smania·José Vidarte
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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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Daniel Smania, José Vidarte. 2015-01-23. Existence of C^{K}-invariant foliations for Lorenz type maps. https://doi.org/10.1007/s10884-016-9539-1

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