| Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system | |
| Alternative Title | Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system |
| Zhang YongXiang1; Kong GuiQin2; Yu JianNing3 | |
| 2008 | |
| Source Publication | ACTA PHYSICA SINICA
 |
| ISSN | 1000-3290 |
| Volume | 57Issue:10Pages:6182-6187 |
| Abstract | The dynamical model and Poincare maps of a shaker are established. Two types of codimension-3 bifurcations of this system, including Flip-Hopf-Hopf bifurcation and Hopf-Hopf bifurcation in the third order strong resonant case, and three non-typical routes to chaos are investigated by using Poincare maps. The system exhibits more complicated dynamic behaviors near the points of codimension-3 bifurcation. The results show that near the points of bifurcation there exist triangle attractor, 3 T-2 torus bifurcation and "pentalpha-like", "tire-like" attractors in projected Poincare sections. The routes to chaos via torus explosion, torus-doubling bifurcation and T-2 torus bifurcation are analyzed by numerical simulation. The system parameters of shaker may be optimized by studying the stability and bifurcation of periodic motion of the shaker. |
| Keyword | PERIOD-DOUBLING BIFURCATIONS HOPF codimension-3 bifurcation non-typical routes to chaos T-2 torus bifurcation |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [Natural Science Foundation of Gansu Province, China] |
| CSCD ID | CSCD:3462198 |
| Citation statistics |
Cited Times:6[CSCD]
[CSCD Record]
|
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/142737 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.中国科学院金属研究所 2.6354 Institute China State Shipbldg Corp, Jiujiang 332000, Peoples R China 3.兰州交通大学 |
| Recommended Citation GB/T 7714 | Zhang YongXiang,Kong GuiQin,Yu JianNing. Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system[J]. ACTA PHYSICA SINICA,2008,57(10):6182-6187. |
| APA | Zhang YongXiang,Kong GuiQin,&Yu JianNing.(2008).Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system.ACTA PHYSICA SINICA,57(10),6182-6187. |
| MLA | Zhang YongXiang,et al."Two codimension-3 bifurcations and non-typical routes to chaos of a shaker system".ACTA PHYSICA SINICA 57.10(2008):6182-6187. |
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