Existence of C-k-Invariant Foliations for Lorenz-Type Maps

Smania, Daniel; Vidarte, Jose

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence of C-k-Invariant Foliations for Lorenz-Type Maps

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Author(s):	Smania, Daniel ^[1] ; Vidarte, Jose ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, ICMC, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Fed Itajuba, Inst Matemat & Comp, Avenida BPS 1303, BR-37500903 Itajuba, MG - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Dynamics and Differential Equations; v. 30, n. 1, p. 227-255, MAR 2018.
Web of Science Citations:	0
Abstract
Under conditions similar to those in Shashkov and Shil'nikov (Differ Uravn 30(4):586-595, 732, 1994) we show that a Lorenz-type map T has a codimension one foliation which is invariant under the action of T. This allows us to associate T to a one-dimensional transformation. (AU)

FAPESP's process:	09/17153-9 - Perturbations o Lorenz-like flows.
Grantee:	Jose Humberto Bravo Vidarte
Support Opportunities:	Scholarships in Brazil - Doctorate

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