Analysis of grazing bifurcation from periodic motion to quasi-periodic motion in impact-damper systems

被引：17
|
作者：
Wen, Guilin [1 ]
Yin, Shan [1 ]
Xu, Huidong [2 ]
Zhang, Sijin [1 ]
Lv, Zengyao [1 ]
机构：
[1] Hunan Univ, State Key Lab Adv Design & Manufacture Vehicle Bo, Coll Mech & Vehicle Engn, Changsha 410082, Hunan, Peoples R China
[2] Taiyuan Univ Technol, Coll Mech, Taiyuan 030024, Shanxi, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 83卷
基金：
中国国家自然科学基金;
关键词：
Discontinuous grazing bifurcation; Quasi-periodic attractor; Lyapunov exponents; Basins of attraction; HOPF-BIFURCATION; BEHAVIOR; MAPS;
D O I：
10.1016/j.chaos.2015.11.039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A peculiar discontinuous bifurcation phenomenon that the periodic solution directly jumps to quasi-periodic attractor through grazing bifurcation is reported in this paper. This phenomenon is revealed in the impact damper system by the spectrum of the largest Lyapunov exponent in parameter plane. The origin of the quasi-periodic attractor and coexistence of solutions are analyzed. And the MDCM (multi-DOF cell mapping) method is used to reveal the variety of attraction basins of solutions. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：112 / 118
页数：7
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