CHAOS CONTROL IN A SPECIAL PENDULUM SYSTEM FOR ULTRA-SUBHARMONIC RESONANCE

doi:10.3934/dcdsb.2020144

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	CHAOS CONTROL IN A SPECIAL PENDULUM SYSTEM FOR ULTRA-SUBHARMONIC RESONANCE
	Chen, Xianwei 1; Fu, Xiangling 1; Jing, Zhujun 2
	2021-02-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	26 期号:2 页码:847-860
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.
关键词	Pendulum equation homoclinic chaos heteroclinic chaos chaos control Melnikov methods
DOI	10.3934/dcdsb.2020144
收录类别	SCI
语种	英语
资助项目	Province Natural Science Foundation of Hunan[2018JJ2110]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000606490700005
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57992
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.Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.