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arXiv · 1811.00968

Describing dynamics of driven multistable oscillators with phase transfer curves

Evgeny Grines·Grigory Osipov·Arkady Pikovsky
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Abstract

Phase response curve is an important tool in studies of stable self-sustained oscillations; it describes a phase shift under action of an external perturbation. We consider multistable oscillators with several stable limit cycles. Under a perturbation, transitions from one oscillating mode to another one may occur. We define phase transfer curves to describe the phase shifts at such transitions. This allows for a construction of one-dimensional maps that characterize periodically kicked multistable oscillators. We show, that these maps are good approximations of the full dynamics for large periods of forcing.

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Evgeny Grines, Grigory Osipov, Arkady Pikovsky. 2018-11-02. Describing dynamics of driven multistable oscillators with phase transfer curves. https://doi.org/10.1063/1.5037290

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