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arXiv · 1707.03606

Bogdanov-Takens resonance in time-delayed systems

Mattia Coccolo·BeiBei Zhu·Miguel A. F. Sanjuán·Jesús M. Sanz-Serna
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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.

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Mattia Coccolo, BeiBei Zhu, Miguel A. F. Sanjuán, Jesús M. Sanz-Serna. 2017-07-12. Bogdanov-Takens resonance in time-delayed systems. https://doi.org/10.1007/s11071-017-3992-1

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