Synchronization of periodic self-oscillations by common noise

被引：10
|
作者：
D. S. Goldobin
A. S. Pikovsky
机构：
[1] Perm State University,
[2] University of Potsdam,undefined
来源：
Radiophysics and Quantum Electronics | 2004年 / 47卷 / 10-11期
关键词：
Noise Level; Lyapunov Exponent; Quantum Electronics; Analytic Calculation; Nonlinear Optic;
D O I：
10.1007/s11141-005-0031-8
中图分类号：
学科分类号：
摘要：
We consider the effect of external noise on the stability properties of self-oscillations. A stochastic equation for the phase is derived at the limit of weak noise (in the appropriate sense). The stationary probability-density distribution is used for an analytic calculation of the Lyapunov exponent. We show that the exponent is always negative for the small noise level, which corresponds to synchronization of self-oscillations.
引用
收藏
页码：910 / 915
页数：5
相关论文
共 50 条
  • [41] Experimental synchronization of circuit oscillations induced by common telegraph noise
    Nagai, Ken
    Nakao, Hiroya
    PHYSICAL REVIEW E, 2009, 79 (03):
  • [42] Self-oscillations in an elementary cell of a doubly periodic quasi-two-dimensional flow
    Batchaev, AM
    IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2003, 39 (04) : 401 - 412
  • [43] TO THE THEORY OF SELF-OSCILLATIONS IN A REVERBERATING KLYSTRON
    KHOKHLOV, RV
    ZHURNAL TEKHNICHESKOI FIZIKI, 1955, 25 (14): : 2492 - 2500
  • [44] Self-oscillations in oscillating heat pipes
    A. V. Melkikh
    Yu. E. Dolgirev
    High Temperature, 2006, 44 : 542 - 547
  • [45] THERMOOPTIC SELF-OSCILLATIONS OF MOLECULAR GAS
    SHMELEV, VM
    KHIMICHESKAYA FIZIKA, 1992, 11 (09): : 1207 - 1215
  • [46] STOCHASTIC SELF-OSCILLATIONS IN RADIOPHYSICS AND HYDRODYNAMICS
    GAPONOVGREKHOV, AV
    RABINOVICH, MI
    VESTNIK AKADEMII NAUK SSSR, 1980, (10) : 15 - 24
  • [47] Control of Stochastically Perturbed Self-Oscillations
    I. A. Bashkirtseva
    L. B. Ryashko
    Automation and Remote Control, 2005, 66 : 944 - 952
  • [48] Self-Oscillations in the Braking Process of a Vehicle
    Vil'ke, V. G.
    Shapovalov, I. L.
    MOSCOW UNIVERSITY MECHANICS BULLETIN, 2015, 70 (04) : 79 - 85
  • [49] PENIOTRON FORWARD WAVE SELF-OSCILLATIONS
    LIN, AT
    LIN, CC
    APPLIED PHYSICS LETTERS, 1994, 64 (09) : 1088 - 1090
  • [50] Self-oscillations in nonlinear torsional metamaterials
    Liu, M.
    Powell, D. A.
    Shadrivov, I. V.
    Lapine, M.
    Kivshar, Y. S.
    NEW JOURNAL OF PHYSICS, 2013, 15
12345