Bogdanov–Takens resonance in time-delayed systems

Coccolo, Mattia; Zhu, Beibei; Sanjuán, Miguel A. F.; Sanz Serna, Jesús María

doi:https://doi.org/10.1007/s11071-017-3992-1

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Título

Bogdanov–Takens resonance in time-delayed systems

Autor

Coccolo, Mattia

Zhu, Beibei

Sanjuán, Miguel A. F.

Sanz Serna, Jesús María

Año del Documento

2018

Documento Fuente

Nonlinear Dynamics, February 2018, Volume 91, Issue 3, pp 1939-1947

Resumen

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

Revisión por pares

DOI

10.1007/s11071-017-3992-1

Patrocinador

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).