Lorenz attractors with arbitrary expanding dimension

被引：43

作者：

Bonatti, C

Pumarino, A

Viana, M

机构：

[1] UNIV OVIEDO,FAC CIENCIAS,DEPT MATEMAT,E-33007 OVIEDO,SPAIN

[2] IMPA,BR-22460320 RIO JANEIRO,BRAZIL

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 325卷 / 08期

关键词：

D O I：

10.1016/S0764-4442(97)80131-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct the first examples of flows with robust multidimensional Lorenz-like attractors: the singularity contained in the attractor may have any number of expanding eigenvalues, and the attractor remains transitive in a whole neighbourhood of the initial flow. These attractors support a Sinai-Ruelle-Bowen SRB-measure and, contrary to the usual (low-dimensional) Lorenz models, they have infinite modulus of structural stability.

引用

页码：883 / 888

页数：6

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