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On the C1 robust transitivity of the geometric Lorenz attractor.
- Source :
-
Journal of Differential Equations . Jun2017, Vol. 262 Issue 12, p5928-5938. 11p. - Publication Year :
- 2017
-
Abstract
- The geometric Lorenz attractor is an attractor set constructed in such a way that it satisfies the main qualitative properties evidenced on the Lorenz system equations, particularly the fact that this attractor is a robustly transitive set. In this paper we prove the C 1 -robust transitivity by using geometric properties for singular hyperbolic sets and without the assumption of the uniformly linearizing coordinates around the singularity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 262
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 121910963
- Full Text :
- https://doi.org/10.1016/j.jde.2017.02.019