GENERALIZED LORENTZ SYSTEM

被引：167

作者：

CURRY, JH ^{[1
]}

机构：

[1] NATL CTR ATMOSPHER RES,ADV STUDY PROGRAM,BOULDER,CO 80307

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1978年 / 60卷 / 03期

关键词：

D O I：

10.1007/BF01612888

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A 14-dimensional generalized Lorenz system of ordinary differential equations is constructed and its bifurcation sequence is then studied numerically. Several fundamental differences are found which serve to distinguish this model from Lorenz's original one, the most unexpected of which is a family of invariant two-tori whose ultimate bifurcation leads to a strange attractor. The strange attractor seems to have many of the gross features observed in Lorenz's model and therefore is an excellent candidate for a higher dimensional analogue. © 1978 Springer-Verlag.

引用

页码：193 / 204

页数：12

共 15 条

[1] CURRY JA, UNPUBLISHED
[2] GUCKENHEIMER J, 1976, LECTURE NOTES APPL M, V19, P368
[3] Joseph D.D., 1965, ARCH RATION MECH AN, V20, P59, DOI [10.1007/BF00250190, DOI 10.1007/BF00250190]
[4] KAPLAN J, 1976, PRETURBULENCE METAST
[5] LANFORD O, 1973, LECTURE NOTES MATH, V322
[6] LANFORD OE, 1977, QUALITATIVE STATISTI
[7] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[8] 2
[9] MARSDEN JE, 1976, LECTURE NOTES APPLIE, V19
[10] SUCCESSIVE BIFURCATIONS LEADING TO STOCHASTIC BEHAVIOR
MCLAUGHLIN, J
[J]. JOURNAL OF STATISTICAL PHYSICS, 1976, 15 (04) : 307 - 326

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