Coherence of Noisy Oscillators with Delayed Feedback Inducing Multistability
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.
Cite
@article{arxiv.1509.08350,
title = {Coherence of Noisy Oscillators with Delayed Feedback Inducing Multistability},
author = {Anastasiya V. Pimenova and Denis S. Goldobin},
journal= {arXiv preprint arXiv:1509.08350},
year = {2017}
}
Comments
6 pages, 4 figures, proceeding paper for International Conference on Computer Simulation in Physics and beyond (September 6-10, 2015, Moscow, Russia)