PERIODIC-SOLUTIONS AND BIFURCATION STRUCTURE AT HIGH-R IN THE LORENTZ MODEL

被引：83

作者：

ROBBINS, KA

机构：

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1979年 / 36卷 / 03期

关键词：

D O I：

10.1137/0136035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stable periodic solution of the Lorenz system in the limit as R yields infinity is computed as a fixed point of a Poincare mapping. The solution is shown to exist for finite R by application of the implicit function theorem. Successive bifurcations as R is decreased to the nonperiodic regime are examined numerically.

引用

页码：457 / 472

页数：16

共 10 条

[1]

HENON M, 1976, TURBULENCE NAVIER ST, P29

[2]

HOWARD LN, 1974 SUMMER STUDY PR

[3]

KAPLAN J, PRETURBULENCE METAST

[4]

LI TY, 1976, SIMPLEST DYNAMICAL S, V2