Bogdanov-Takens resonance in time-delayed systems
Coccolo, Mattia1; Zhu, BeiBei2,3,4; Sanjuan, Miguel A. F.1,5; Sanz-Serna, Jesus M.4
AbstractWe 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.
KeywordNonlinear oscillations Delay systems Resonance
Funding ProjectSpanish 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 Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
WOS IDWOS:000424037200036
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Document Type期刊论文
Corresponding AuthorCoccolo, Mattia
Affiliation1.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
Recommended Citation
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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