Hopf bifurcation, tori bifurcation and chaos of a vibratory system impacting a stop

被引：0

作者：

Li, NZ ^{[1
]}

Gou, XF ^{[1
]}

Liu, L ^{[1
]}

机构：

[1] Lanzhou Railway Inst, Sch Mechatron & Power Engn, Lanzhou 730070, Peoples R China

来源：

PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING | 2002年

关键词：

vibro-impact; Hopf bifurcation; toribifurcation; chaos; map;

D O I：

暂无

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Dynamics of a two-degree-of-freedom vibro-impact system is studied by numerical and analytical method. The maximum displacement of one of the vibratory masses is limited to a threshold value by a rigid wall, which gives rise to a non-linearity in the system. The Hopf bifurcations of periodic motions in non-resonance and weak resonance cases will be studied by establishing the Poincare map of the vibro-impact system with a proportional damping property. The stability of periodic motions with one impact is analyzed. Hopf bifurcation values and intersecting condition of the periodic motion with one impact are determined. The routes of quasi-periodic impacts to chaos; via. tori bifurcation,are obtained by numerical simulations.

引用

页码：358 / 362

页数：5

共 50 条

[11] Si'lnikov chaos and Hopf bifurcation analysis of Rucklidge system
Wang, Xia
CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2208 - 2217
[12] Hopf bifurcation and chaos in an inertial neuron system with coupled delay
Ge JuHong
Xu Jian
SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2013, 56 (09) : 2299 - 2309
[13] DOUBLE HOPF BIFURCATION AND CHAOS IN LIU SYSTEM WITH DELAYED FEEDBACK
Ding, Yuting
Jiang, Weihua
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2011, 1 (03): : 325 - 349
[14] RESEARCH IN STABILITY OF PERIODIC MOTION,BIFURCATION AND CHAOS IN A VIBRATORY SYSTEM WITH A CLEARANCE
Luo Guanwei (Department of Mechanical Engineering
ActaMechanicaSolidaSinica, 2003, (02) : 127 - 133
[15] Research in stability of periodic motion, bifurcation and chaos in a vibratory system with a clearance
Luo, GW
Xie, JH
ACTA MECHANICA SOLIDA SINICA, 2003, 16 (02) : 127 - 133
[16] Shilnikov chaos and Hopf bifurcation in three-dimensional differential system
He, Qiong
Xiong, Hai-Yun
OPTIK, 2016, 127 (19): : 7648 - 7655
[17] Bifurcation analysis and Hopf bifurcation control of a motor system
Zhang, Z.-H. (zhangzhonghua1979@126.com), 2013, China Ordnance Industry Corporation (34):
[18] Hopf bifurcation and chaos of financial system on condition of specific combination of parameters
Ge Z.
Zhu G.
Feng D.
J. Syst. Sci. Complex., 2008, 2 (260-266): : 260 - 266
[19] HOPF BIFURCATION AND CHAOS OF FINANCIAL SYSTEM ON CONDITION OF SPECIFIC COMBINATION OF PARAMETERS
Junhai MA Management School of Tianjin UniversityTianjin China
Tianjin University of Finance and EconomicsTianjin ChinaYaqiang CUI Lixia LIU Management School of Tianjin UniversityTianjin China
Journal of Systems Science and Complexity, 2008, 21 (02) : 250 - 259
[20] Hopf Bifurcation Analysis in a New Chaotic System with Chaos Entanglement Function
Zhang Jiangang
Chu Yandong
Du Wenju
Chang Yingxiang
An Xinlei
JOURNAL OF APPLIED MATHEMATICS, 2014,

← 1 2 3 4 5 →