A SHOOTING APPROACH TO THE LORENZ EQUATIONS

被引：23

作者：

HASTINGS, SP

TROY, WC

机构：

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 27卷 / 02期

关键词：

D O I：

10.1090/S0273-0979-1992-00327-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We announce and outline a proof of the existence of a homoclinic orbit of the Lorenz equations. In addition, we develop a shooting technique and two key conditions, which lead to the existence of a one-to-one correspondence between a set of solutions and the set of all infinite sequences of 1's and 3's.

引用

页码：298 / 303

页数：6

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