Dynamics of Limit-Cycle Oscillators Subject to General Noise

被引：97

作者：

Goldobin, Denis S. ^{[1
,2
]}

Teramae, Jun-nosuke ^{[3
]}

Nakao, Hiroya ^{[4
]}

Ermentrout, G. Bard ^{[5
]}

机构：

[1] UB RAS, Inst Continuous Media Mech, Perm 614013, Russia

[2] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

[3] RIKEN, Brain Sci Inst, Wako, Saitama 3510198, Japan

[4] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

[5] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 15期

关键词：

DELAYED FEEDBACK; COUPLED OSCILLATORS; SYNCHRONIZATION; POPULATIONS; RELIABILITY;

D O I：

10.1103/PhysRevLett.105.154101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The phase description is a powerful tool for analyzing noisy limit-cycle oscillators. The method, however, has found only limited applications so far, because the present theory is applicable only to Gaussian noise while noise in the real world often has non-Gaussian statistics. Here, we provide the phase reduction method for limit-cycle oscillators subject to general, colored and non-Gaussian, noise including a heavy-tailed one. We derive quantifiers like mean frequency, diffusion constant, and the Lyapunov exponent to confirm consistency of the results. Applying our results, we additionally study a resonance between the phase and noise.

引用

页数：4