CHAOS CONTROL IN A SPECIAL PENDULUM SYSTEM FOR ULTRA-SUBHARMONIC RESONANCE | |
Chen, Xianwei2; Fu, Xiangling2; Jing, Zhujun1 | |
刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
2021-02-01 | |
卷号 | 26期号:2页码:847-860 |
关键词 | Pendulum equation homoclinic chaos heteroclinic chaos chaos control Melnikov methods |
ISSN号 | 1531-3492 |
DOI | 10.3934/dcdsb.2020144 |
英文摘要 | In this paper, we study the chaos control of pendulum system with vibration of suspension axis for ultra-subharmonic resonance by using Melnikov methods, and give a necessary condition for controlling heteroclinic chaos and homoclinic chaos, respectively. We give some bifurcation diagrams by numerical simulations, which indicate that the chaos behaviors for ultra-subharmonic resonance may be inhibited to periodic orbits by adjusting phase-difference of parametric excitation, and prove that results obtained are very effective in inhibiting chaos for ultra-subharmonic resonance. |
资助项目 | Province Natural Science Foundation of Hunan[2018JJ2110] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
WOS记录号 | WOS:000606490700005 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57991] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Chen, Xianwei |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Xianwei,Fu, Xiangling,Jing, Zhujun. CHAOS CONTROL IN A SPECIAL PENDULUM SYSTEM FOR ULTRA-SUBHARMONIC RESONANCE[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2021,26(2):847-860. |
APA | Chen, Xianwei,Fu, Xiangling,&Jing, Zhujun.(2021).CHAOS CONTROL IN A SPECIAL PENDULUM SYSTEM FOR ULTRA-SUBHARMONIC RESONANCE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,26(2),847-860. |
MLA | Chen, Xianwei,et al."CHAOS CONTROL IN A SPECIAL PENDULUM SYSTEM FOR ULTRA-SUBHARMONIC RESONANCE".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 26.2(2021):847-860. |
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