Multistability of a three-degree-of-freedom vibro-impact system

被引：27
|
作者：
Zhang, Yongxiang [1 ]
Luo, Guanwei [2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] Lanzhou Jiaotong Univ, Sch Mechatron Engn, Lanzhou 730070, Gansu, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 57卷
基金：
中国国家自然科学基金;
关键词：
Vibro-impact; Coexisting attractors; Poincare map; Multistability; SYMMETRICAL RIGID STOPS; QUASI-PERIODIC ORBITS; HOPF-HOPF BIFURCATION; LYAPUNOV EXPONENTS; AMPLITUDE DEATH; OSCILLATORS; ATTRACTORS; BASINS; DELAY;
D O I：
10.1016/j.cnsns.2017.10.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Four types of scenarios occurring multistability are identified in a vibro-impact system. Besides the coexistence of high-periodic attractors and chaotic attractors, this system has some coexisting multi-frequency quasiperiodical attractors. We observe the coexistence of different two-dimensional tori T-2, which the mechanism of torus formation involves phase-locked dynamics on three-dimensional tori. We also find that the tori T-3 and the tori T-2 (or period-3) coexist for a certain set of parameters. The mechanism leading to the multistability is investigated through interplay among the codimension two bifurcations, strong resonance bifurcations and global bifurcations. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：331 / 341
页数：11
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