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Title: Bogdanov–Takens resonance in time-delayed systems
Authors: Coccolo, Mattia
Zhu, Beibei
Sanjuán, Miguel A. F.
Sanz Serna, Jesús María
Issue Date: 2018
Citation: Nonlinear Dynamics, February 2018, Volume 91, Issue 3, pp 1939-1947
Abstract: 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.
ISSN: 0924-090X
Peer Review: SI
Sponsor: Ministerio de Economía, Industria y Competitividad, proyectos MTM2013-46553-C3-1-P, MTM2016-77660–P (AEI/FEDER, UE), FIS2013-40653-P y FIS2016-76883-P (AEI/FEDER; UE); Fulbright Programme y Ministerio de Educación (programme no. FMECD-ST-2016); National Natural Science Foundation of China (Grant No. 11371357).
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:DEP51 - Artículos de revista

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