Control of oscillators coherence by multiple delayed feedback

被引:9
作者
Pawlik, Andreas H.
Pikovsky, Arkady
机构
[1] Leiden Univ, NL-2300 RA Leiden, Netherlands
[2] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany
关键词
phase diffusion; delayed feedback; control;
D O I
10.1016/j.physleta.2006.05.013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate that a multiple delayed feedback is a powerful tool to control coherence properties of autonomous self-sustained oscillators. We derive the equation for the phase dynamics in presence of noise and delay, and analyze it analytically. In Gaussian approximation a closed set of equations for the frequency and the diffusion constant is obtained. Solutions of these equations are in good agreement with direct numerical simulations. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:181 / 185
页数:5
相关论文
共 13 条
[1]   Experimental control of coherence of a chaotic oscillator [J].
Boccaletti, S. ;
Allaria, E. ;
Meucci, R. .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 69 (6 2) :066211-1
[2]  
Furutsu K., 1963, J RES NAT BUR STAN D, V67, P303
[3]   Controlling oscillator coherence by delayed feedback [J].
Goldobin, D ;
Rosenblum, M ;
Pikovsky, A .
PHYSICAL REVIEW E, 2003, 67 (06) :7
[4]  
Just W, 2003, ADV SOLID STATE PHYS, V43, P589
[5]  
Kuramoto Y, 2003, CHEM OSCILLATIONS WA
[6]  
Novikov E. A., 1964, ZH EKSP TEOR FIZ, V47, P1919
[7]  
NOVIKOV EA, 1964, SOV PHYS JETP, V20, P1290
[8]  
Pikovsky A., 2003, SYNCHRONIZATION UNIV
[9]   CONTINUOUS CONTROL OF CHAOS BY SELF-CONTROLLING FEEDBACK [J].
PYRAGAS, K .
PHYSICS LETTERS A, 1992, 170 (06) :421-428
[10]   Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms [J].
Rosenblum, M ;
Pikovsky, A .
PHYSICAL REVIEW E, 2004, 70 (04) :11