Fluctuational phase-flip transitions in parametrically driven oscillators

被引：81

作者：

Dykman, MI ^{[1
]}

Maloney, CM ^{[1
]}

Smelyanskiy, VN ^{[1
]}

Silverstein, M ^{[1
]}

机构：

[1] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA

来源：

PHYSICAL REVIEW E | 1998年 / 57卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.57.5202

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We analyze the rates of noise-induced transitions between period-two attractors. The model investigated is an underdamped oscillator parametrically driven by a field at nearly twice the oscillator eigenfrequency. The activation energy of the transitions is analyzed as a function of frequency detuning and field amplitude scaled by the damping and nonlinearity parameters of the oscillator. Both fourth-and sixth-order nonlinearities are taken into account. The parameter ranges where the system is bistable and tristable are investigated. Explicit results are obtained in the limit of small damping, or equivalently, strong driving, including scaling near bifurcation points.

引用

页码：5202 / 5212

页数：11

共 37 条

[1]

Arnold V. I., 1992, Ordinary Differential Equations

[2] SUPPRESSION OF PERIOD-DOUBLING AND NONLINEAR PARAMETRIC EFFECTS IN PERIODICALLY PERTURBED SYSTEMS [J].

BRYANT, P ;

WIESENFELD, K .

PHYSICAL REVIEW A, 1986, 33 (04) :2525-2543

[3] STOCHASTIC RESONANCE AND CRISES [J].

CARROLL, TL ;

PECORA, LM .

PHYSICAL REVIEW LETTERS, 1993, 70 (05) :576-579

[4] STOCHASTIC RESONANCE AS A CRISIS IN A PERIOD-DOUBLED CIRCUIT [J].

CARROLL, TL ;

PECORA, LM .

PHYSICAL REVIEW E, 1993, 47 (06) :3941-3947

[5] DISSIPATIVE CORRECTIONS TO ESCAPE PROBABILITIES OF THERMALLY NONEQUILIBRIUM SYSTEMS [J].

CHINAROV, VA ;

DYKMAN, MI ;

SMELYANSKIY, VN .

PHYSICAL REVIEW E, 1993, 47 (04) :2448-2461

[6] FATE OF FALSE VACUUM - SEMICLASSICAL THEORY [J].

COLEMAN, S .

PHYSICAL REVIEW D, 1977, 15 (10) :2929-2936

[7]

Dmitriev A. P., 1986, Soviet Physics - JETP, V63, P838

[8] OPTIMAL PATHS AND THE PREHISTORY PROBLEM FOR LARGE FLUCTUATIONS IN NOISE-DRIVEN SYSTEMS [J].

DYKMAN, MI ;

MCCLINTOCK, PVE ;

SMELYANSKI, VN ;

STEIN, ND ;

STOCKS, NG .

PHYSICAL REVIEW LETTERS, 1992, 68 (18) :2718-2721

[9] SUPERNARROW SPECTRAL PEAKS AND HIGH-FREQUENCY STOCHASTIC RESONANCE IN SYSTEMS WITH COEXISTING PERIODIC ATTRACTORS [J].

DYKMAN, MI ;

LUCHINSKY, DG ;

MANNELLA, R ;

MCCLINTOCK, PVE ;

STEIN, ND ;

STOCKS, NG .

PHYSICAL REVIEW E, 1994, 49 (02) :1198-1215

[10] Corrals and critical behavior of the distribution of fluctuational paths [J].

Dykman, MI ;

Luchinsky, DG ;

McClintock, PVE ;

Smelyanskiy, VN .

PHYSICAL REVIEW LETTERS, 1996, 77 (26) :5229-5232

← 1 2 3 4 →