Controlling oscillator coherence by delayed feedback

被引:65
作者
Goldobin, D
Rosenblum, M
Pikovsky, A
机构
[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany
[2] Perm State Univ, Dept Theoret Phys, Perm 614990, Russia
来源
PHYSICAL REVIEW E | 2003年 / 67卷 / 06期
关键词
D O I
10.1103/PhysRevE.67.061119
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We demonstrate that the coherence of a noisy or chaotic self-sustained oscillator can be efficiently controlled by the delayed feedback. We develop a theory of this effect, considering noisy systems in the Gaussian approximation. We obtain a closed equation system for the phase diffusion constant and the mean frequency of oscillation. For weak feedback and strong noise, the theory is in good agreement with the numerics. We discuss possible applications of the effect for the synchronization control.
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页数:7
相关论文
共 21 条
[1]  
Bertram M, 2001, PHYS REV E, V63, DOI 10.1103/PhysRevE.63.066102
[2]  
Bogoliubov NN., 1961, Asymptotic methods in the theory of non-linear oscillations (In Russian)
[3]   Control of chaotic spatiotemporal spiking by time-delay autosynchronization [J].
Fanceschini, G ;
Bose, S ;
Schöll, E .
PHYSICAL REVIEW E, 1999, 60 (05) :5426-5434
[4]   Stationary solutions of linear stochastic delay differential equations: Applications to biological systems [J].
Frank, TD ;
Beek, PJ .
PHYSICAL REVIEW E, 2001, 64 (02) :12
[5]  
Furutsu K., 1963, J RES NAT BUR STAN D, V67, P303
[6]   Small delay approximation of stochastic delay differential equations [J].
Guillouzic, S ;
L'Heureux, I ;
Longtin, A .
PHYSICAL REVIEW E, 1999, 59 (04) :3970-3982
[7]  
KUCHLER U, 1991, STOCHASTICS STOCHAST, V40, P123
[8]  
Kuramoto Y., 1984, CHEM OSCILLATIONS WA, VVolume 19
[9]   Optimal diffusive transport in a tilted periodic potential [J].
Lindner, B ;
Kostur, M ;
Schimansky-Geier, L .
FLUCTUATION AND NOISE LETTERS, 2001, 1 (01) :R25-R39
[10]   Noise-induced resonance in delayed feedback systems [J].
Masoller, C .
PHYSICAL REVIEW LETTERS, 2002, 88 (03) :1-034102