ANALYTIC FORM OF THE SIMPLEST LIMIT-CYCLE IN THE LORENTZ MODEL

被引:22
作者
SHIMIZU, T
机构
[1] Theoretische Festkörperphysik, Technische Hochschule Darmstadt
来源
PHYSICA A | 1979年 / 97卷 / 02期
关键词
D O I
10.1016/0378-4371(79)90113-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method to obtain the analytic form of limit cycles is presented from a viewpoint of constants of motion in dissipative systems. The method is applied to the Lorenz equation in the high-Rayleigh-number limit. The analytic form of the simplest limit cycle is obtained, which is in a good agreement with the result of computer simulation. © 1979.
引用
收藏
页码:383 / 398
页数:16
相关论文
共 21 条
[1]  
BOGOLIUBOV NN, 1961, ASYMPTOTIC METHODS T, P82
[2]  
FUJUSAKA H, 1977, PROG THEOR PHYS, V57, P734
[3]  
HAKEN H, 1978, SYNERGETICS INTRO, pCH12
[4]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[5]  
2
[6]  
LOSCH F, 1960, JANKEEMDELOSCH TABLE, P43
[7]   STATISTICAL DYNAMICS OF LORENTZ MODEL [J].
LUCKE, M .
JOURNAL OF STATISTICAL PHYSICS, 1976, 15 (06) :455-475
[8]  
MARTIN PC, 1976, 1975 P INT C BUD, P69
[9]   TRANSITION TO TURBULENCE IN A STATICALLY STRESSED FLUID SYSTEM [J].
MCLAUGHLIN, JB ;
MARTIN, PC .
PHYSICAL REVIEW A, 1975, 12 (01) :186-203
[10]   C-SYSTEM-LIKE PROPERTY OF LORENTZ SYSTEM [J].
NAGASHIMA, T ;
SHIMADA, I .
PROGRESS OF THEORETICAL PHYSICS, 1977, 58 (04) :1318-1320