Noise-mediated dynamics in a two-dimensional oscillator:: Exact solutions and numerical results

被引：11

作者：

Acebrón, JA ^{[1
]}

Bulsara, AR

Inchiosa, ME

Rappel, WJ

机构：

[1] Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA

[2] SPAWAR Syst Ctr Code D363, San Diego, CA 92152 USA

来源：

EUROPHYSICS LETTERS | 2001年 / 56卷 / 03期

关键词：

D O I：

10.1209/epl/i2001-00527-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a Fokker-Planck equation (FPE) to analyze the oscillator equations describing a nonlinear amplifier, exempli ed by a two-junction Superconducting Quantum Interference Device ( SQUID), in the presence of thermal noise. We show that the FPE admits a unique stationary solution and obtain analytical results for several parameters ranges. To solve the FPE numerically, we develop an efficient spectral method which exploits the periodicity of the probability density. The numerical method, combined with the exact solutions, allow us to rapidly explore the noise-mediated dynamics as a function of the control parameters.

引用

页码：354 / 360

页数：7

共 17 条

[1] Asymptotic description of transients and synchronized states of globally coupled oscillators [J].

Acebron, JA ;

Bonilla, LL .

PHYSICA D, 1998, 114 (3-4) :296-314

[2]

[Anonymous], 1982, PHYSICS APPL JOSEPHS

[3]

Bulsara AR, 2000, ANN PHYS-BERLIN, V9, P679, DOI 10.1002/1521-3889(200010)9:9/10<679::AID-ANDP679>3.0.CO

[4]

2-B

[5] INTRODUCTION TO BIFURCATION-THEORY [J].

CRAWFORD, JD .

REVIEWS OF MODERN PHYSICS, 1991, 63 (04) :991-1037

[6]

HIBBS A, 1997, AIP C P, V411

[7] Nonlinear signal amplification in a 2D system operating in static and oscillatory regimes [J].

Inchiosa, ME ;

Bulsara, AR ;

Wiesenfeld, KA ;

Gammaitoni, L .

PHYSICS LETTERS A, 1999, 252 (1-2) :20-26

[8] Stochastic dynamics in a two-dimensional oscillator near a saddle-node bifurcation [J].

Inchiosa, ME ;

In, V ;

Bulsara, AR ;

Wiesenfeld, K ;

Heath, T ;

Choi, MH .

PHYSICAL REVIEW E, 2001, 63 (06) :066114/1-066114/28

[9]

Inchiosa ME, 2000, AIP CONF PROC, V502, P583, DOI 10.1063/1.1302439

[10]

KAUTZ RL, 1935, REP PROG PHYS, V59, P1996

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