Optimal configuration for vibration frequencies in a ring of harmonic oscillators: The nonidentical mass effect
文献类型:期刊论文
作者 | Liu, Shuai1; Zhang, Guo-Yong2,3; He, Zhiwei2,4; Zhan, Meng2 |
刊名 | FRONTIERS OF PHYSICS
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出版日期 | 2015-06-01 |
卷号 | 10期号:3页码:327-338 |
关键词 | synchronization vibration frequencies normal modes complex systems |
英文摘要 | The parameter diversity effect in coupled nonidentical elements has attracted persistent interest in nonlinear dynamics. Of fundamental importance is the so-called optimal configuration problem for how the spatial position of elements with different parameters precisely determines the dynamics of the whole system. In this work, we study the optimal configuration problem for the vibration spectra in the classical mass-spring model with a ring configuration, paying particular attention to how the configuration of different masses affects the second smallest vibration frequency (omega (2)) and the largest one (omega (N) ). For the extreme values of omega (2) and omega (N) , namely, (omega (2))(min), (omega (2))(max), (omega (N) )(min), and (omega (N) )(max), we find some explicit organization rules for the optimal configurations and some approximation rules when the explicit organization rules are not available. The different distributions of omega (2) and omega (N) are compared. These findings are interesting and valuable for uncovering the underlying mechanism of the parameter diversity effect in more general cases. |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Physics, Multidisciplinary |
研究领域[WOS] | Physics |
关键词[WOS] | COUPLED CHAOTIC OSCILLATORS ; COMPLEX NETWORKS ; SYNCHRONIZATION ; SYSTEMS ; DYNAMICS ; DIVERSITY ; STABILITY ; STATES |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000356043100007 |
公开日期 | 2015-07-28 |
源URL | [http://ir.wipm.ac.cn/handle/112942/4757] ![]() |
专题 | 武汉物理与数学研究所_理论与交叉研究部 |
作者单位 | 1.Northwest A&F Univ, Coll Sci, Yangling 712100, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan Ctr Magnet Resonance, Wuhan 430071, Peoples R China 3.Hubei Normal Univ, Coll Comp Sci & Technol, Huangshi 435002, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, Shuai,Zhang, Guo-Yong,He, Zhiwei,et al. Optimal configuration for vibration frequencies in a ring of harmonic oscillators: The nonidentical mass effect[J]. FRONTIERS OF PHYSICS,2015,10(3):327-338. |
APA | Liu, Shuai,Zhang, Guo-Yong,He, Zhiwei,&Zhan, Meng.(2015).Optimal configuration for vibration frequencies in a ring of harmonic oscillators: The nonidentical mass effect.FRONTIERS OF PHYSICS,10(3),327-338. |
MLA | Liu, Shuai,et al."Optimal configuration for vibration frequencies in a ring of harmonic oscillators: The nonidentical mass effect".FRONTIERS OF PHYSICS 10.3(2015):327-338. |
入库方式: OAI收割
来源:武汉物理与数学研究所
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