A note on bifurcations of motions in the Lorentz system

被引：9

作者：

Martynyuk, AA ^{[1
]}

Nikitina, NV ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2003年 / 39卷 / 02期

关键词：

Lorenz equations; limit cycle; bifurcation; chaos;

D O I：

10.1023/A:1023921901316

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The limit-cycle phenomenon in the Lorenz system is studied with considering bifurcation slates of a dynamic system. It is established that the trajectory has a complex structure and includes intervals of periodic solutions of different kinematics and an interval of saddle-node solution.

引用

页码：224 / 231

页数：8

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