中国物理B ›› 1997, Vol. 6 ›› Issue (5): 334-340.doi: 10.1088/1004-423X/6/5/002

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TRANSITION FOR FINITE GLOBALLY COUPLED OSCILLATORS DRIVEN BY ADDITIVE AND MULTIPLICATIVE NOISES

李静辉, 黄祖洽   

  1. Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875,China
  • 收稿日期:1996-05-27 出版日期:1997-05-20 发布日期:1997-05-20
  • 基金资助:
    Project supported by the Education Commission of the State Council through the Foundation of Doctoral Training.

TRANSITION FOR FINITE GLOBALLY COUPLED OSCILLATORS DRIVEN BY ADDITIVE AND MULTIPLICATIVE NOISES

LI JING-HUI (李静辉), HUANG ZU-QIA (黄祖洽)   

  1. Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875,China
  • Received:1996-05-27 Online:1997-05-20 Published:1997-05-20
  • Supported by:
    Project supported by the Education Commission of the State Council through the Foundation of Doctoral Training.

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摘要： We study an ensemble of N globally coupled oscillators driven simultaneously by additive and multiplicative noises. By numerical simulation we find that for this model there is the same transition in the dynamics of the mean field when the coupling constant is increased as the one proposed by Pikovsky et al. (Z.Phys. B95(1994),541). The effect of the multiplicative noises on the transition is that when the multiplicative noise strength D1 is small, the effect of the multiplicative noises on the transition is feeble; but with the increase of D1 the transition is strongly influenced near a special value D′1 of D1; then with the increase of D1 when the value of D1 is larger than a critical value D10, the transition disappears. By some approximation we obtain the critical value D(1)0 of D1.

Abstract: We study an ensemble of N globally coupled oscillators driven simultaneously by additive and multiplicative noises. By numerical simulation we find that for this model there is the same transition in the dynamics of the mean field when the coupling constant is increased as the one proposed by Pikovsky et al. (Z.Phys. B95(1994), 541). The effect of the multiplicative noises on the transition is that when the multiplicative noise strength D1 is small, the effect of the multiplicative noises on the transition is feeble; but with the increase of D1 the transition is strongly influenced near a special value D′1 of D1; then with the increase of D1 when the value of D1 is larger than a critical value D10, the transition disappears. By some approximation we obtain the critical value D(1)0 of D1.

中图分类号:  (Noise)

  • 05.40.Ca
02.60.Lj (Ordinary and partial differential equations; boundary value problems) 02.50.Cw (Probability theory)