KMS Of Academy of mathematics and systems sciences, CAS
Bogdanov-Takens resonance in time-delayed systems | |
Coccolo, Mattia1; Zhu, BeiBei2,3,4; Sanjuan, Miguel A. F.1,5; Sanz-Serna, Jesus M.4 | |
2018-02-01 | |
发表期刊 | NONLINEAR DYNAMICS |
ISSN | 0924-090X |
卷号 | 91期号:3页码:1939-1947 |
摘要 | We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude. This phenomenon is related to the presence of a Bogdanov-Takens bifurcation and displays some analogies to other resonance phenomena, but also substantial differences. |
关键词 | Nonlinear oscillations Delay systems Resonance |
DOI | 10.1007/s11071-017-3992-1 |
语种 | 英语 |
资助项目 | Spanish Ministry of Economy and Competitiveness[FIS2013-40653-P] ; Spanish Ministry of Economy and Competitiveness[MTM2013-46553-C3-1-P] ; Spanish Ministry of Economy and Competitiveness[MTM2016-77660-P] ; Spanish State Research Agency (AEI) ; European Regional Development Fund (FEDER)[FIS2016-76883-P] ; Fulbright Programme ; Spanish Ministry of Education[FMECD-ST-2016] ; National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11771438] ; China Scholarship Council |
WOS研究方向 | Engineering ; Mechanics |
WOS类目 | Engineering, Mechanical ; Mechanics |
WOS记录号 | WOS:000424037200036 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/29398 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Coccolo, Mattia |
作者单位 | 1.Univ Rey Juan Carlos, Dept Fis, Nonlinear Dynam Chaos & Complex Syst Grp, Tulipan S-N, Madrid 28933, Spain 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain 5.Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA |
推荐引用方式 GB/T 7714 | Coccolo, Mattia,Zhu, BeiBei,Sanjuan, Miguel A. F.,et al. Bogdanov-Takens resonance in time-delayed systems[J]. NONLINEAR DYNAMICS,2018,91(3):1939-1947. |
APA | Coccolo, Mattia,Zhu, BeiBei,Sanjuan, Miguel A. F.,&Sanz-Serna, Jesus M..(2018).Bogdanov-Takens resonance in time-delayed systems.NONLINEAR DYNAMICS,91(3),1939-1947. |
MLA | Coccolo, Mattia,et al."Bogdanov-Takens resonance in time-delayed systems".NONLINEAR DYNAMICS 91.3(2018):1939-1947. |
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