Codimension-2 Bautin bifurcation in the Lu system

被引：10

作者：

Lue, Zhuosheng ^{[1
]}

Duan, Lixia

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

PHYSICS LETTERS A | 2007年 / 366卷 / 4-5期

关键词：

Lu system; codimension; Bautin bifurcation; Hopf bifurcation;

D O I：

10.1016/j.physleta.2007.02.047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, rigorous mathematical analysis as well as numerical simulations are used to study the codimension-2 Bautin bifurcation in the chaotic Lu system. Parameter conditions for the Bautin bifurcation are specified and analytical expressions of the bifurcation curves are presented. Consequently, parameter regions for the supercritical and subcritical Hopf bifurcations are also derived. The numerical results agree quite well with the analytical ones. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：442 / 446

页数：5

共 50 条

[1] Control of Codimension-2 Bautin Bifurcation in Chaotic Lu System
Lue Zhuo-Sheng
Duan Li-Xia
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2009, 52 (04) : 631 - 636
[2] Control of Codimension-2 Bautin Bifurcation in Chaotic Lü System
Lü Zhuo-Sheng~(1
[J]. Communications in Theoretical Physics, 2009, 52 (10) : 631 - 636
[3] MULTIPLE BIFURCATION PROBLEMS OF CODIMENSION-2
GUCKENHEIMER, J
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (01) : 1 - 49
[4] ON A CODIMENSION-2 BIFURCATION OF HETEROCLINIC ORBITS
KOKUBU, H
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1987, 63 (08) : 298 - 301
[5] NONANALYTIC STOCHASTIC POTENTIAL FOR A LOCAL CODIMENSION-2 BIFURCATION
SULPICE, E
LEMARCHAND, A
LEMARCHAND, H
[J]. PHYSICS LETTERS A, 1987, 121 (02) : 67 - 70
[6] Study on bursting of pancreatic β cells in codimension-2 bifurcation regions
Yang Zhuo-Qin
Guan Ting-Ting
Gan Chun-Biao
Zhang Jiao-Ying
[J]. ACTA PHYSICA SINICA, 2011, 60 (11)
[7] Codimension-2 bifurcation analysis of macroscopic traffic flow model
Fan, Shuangshuang
Liu, Danyang
Duan, Lixia
[J]. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2022, 54 (02): : 482 - 494
[8] QUASIPERIODICITY IN CHEMISTRY - AN EXPERIMENTAL PATH IN THE NEIGHBORHOOD OF A CODIMENSION-2 BIFURCATION
ARGOUL, F
ROUX, JC
[J]. PHYSICS LETTERS A, 1985, 108 (08) : 426 - 430
[9] AN EXPERIMENTAL AND NUMERICAL STUDY OF A CODIMENSION-2 BIFURCATION IN A ROTATING ANNULUS
MULLIN, T
TAVENER, SJ
CLIFFE, KA
[J]. EUROPHYSICS LETTERS, 1989, 8 (03): : 251 - 256
[10] Codimension-2 Hopf bifurcation of a two-degree-of-freedom vibro-impact system
Wen, GL
[J]. JOURNAL OF SOUND AND VIBRATION, 2001, 242 (03) : 475 - 485

← 1 2 3 4 5 →