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arXiv · 1509.08350

Coherence of Noisy Oscillators with Delayed Feedback Inducing Multistability

Anastasiya V. Pimenova·Denis S. Goldobin
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Abstract

For self-sustained oscillators subject to noise the coherence, understood as a constancy of the instantaneous oscillation frequency, is one of the primary characteristics. The delayed feedback has been previously revealed to be an efficient tool for controlling coherence of noise-driven self-sustained oscillator. The effect of the delayed feedback control on coherence is stronger for a longer delay time. Meanwhile, the instantaneous frequency of a noise-free oscillator can exhibit multistability for long delay time. The impact of the delay-feedback--induced multistability on the oscillation coherence, measured by the phase diffusion constant, of a noisy oscillator is studied in this work both numerically and analytically.

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Anastasiya V. Pimenova, Denis S. Goldobin. 2015-09-28. Coherence of Noisy Oscillators with Delayed Feedback Inducing Multistability. https://doi.org/10.1088/1742-6596%2F681%2F1%2F012045

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