The Lorenz attractor exists

被引：350

作者：

Tucker, W ^{[1
]}

机构：

[1] Uppsala Univ, Inst Matemat, S-75106 Uppsala, Sweden

[2] IMPA, BR-22460320 Rio De Janeiro, Brazil

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 328卷 / 12期

关键词：

D O I：

10.1016/S0764-4442(99)80439-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Lorenz equations support a strange attractor, as conjectured by Edward Lorenz in 1963. We also prove that the attractor is robust, i.e., it persists under small perturbations of the coefficients in the underlying differential equations. The proof is based on a combination of normal form theory and rigorous numerical computations. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：1197 / 1202

页数：6