Coherence of Noisy Oscillators with Delayed Feedback Inducing Multistability

International Conference on Computer Simulation in Physics and Beyond 2015

物理学;计算机科学

Pimenova, Anastasiya V.^1 ; Goldobin, Denis S.^1,2,3

Institute of Continuous Media Mechanics, UB RAS, Perm

614013, Russia^1

Department of Theoretical Physics, Perm State University, Perm

614990, Russia^2

Department of Mathematics, University of Leicester, Leicester

LE1 7RH, United Kingdom^3

关键词: Delayed feedback;    Delayed feedback control;    Instantaneous frequency;    Multi stabilities;    Noisy oscillators;    Oscillation frequency;    Phase diffusions;    Self-sustained oscillators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/681/1/012045/pdf
DOI  :  10.1088/1742-6596/681/1/012045

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.