Stochastic resonance in nonpotential systems

被引：38

作者：

Alarcon, T ^{[1
]}

Perez-Madrid, A ^{[1
]}

Rubi, JM ^{[1
]}

机构：

[1] Univ Barcelona, Fac Fis, Dept Fis Fonamental, E-08028 Barcelona, Spain

来源：

PHYSICAL REVIEW E | 1998年 / 57卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.57.4979

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 propose a method to analytically show the possibility for the appearance of a maximum in the signal-to-noise ratio in nonpotential systems. We apply our results to the FitzHugh-Nagumo model under a periodic external forcing, showing that the model exhibits stochastic resonance. The procedure that we follow is based on the reduction to a one-dimensional dynamics in the adiabatic limit and in the topology of the phase space of the systems understudy. Its application to other nonpotential systems is also discussed.

引用

页码：4979 / 4985

页数：7

共 25 条

[1] THE MECHANISM OF STOCHASTIC RESONANCE [J].

BENZI, R ;

SUTERA, A ;

VULPIANI, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (11) :L453-L457

[2] PROCEEDINGS OF THE NATO ADVANCED RESEARCH WORKSHOP - STOCHASTIC RESONANCE IN PHYSICS AND BIOLOGY - PREFACE [J].

BULSARA, A ;

HANGGI, P ;

MARCHESONI, F ;

MOSS, F ;

SHLESINGER, M .

JOURNAL OF STATISTICAL PHYSICS, 1993, 70 (1-2) :1-2

[3] APERIODIC STOCHASTIC RESONANCE IN EXCITABLE SYSTEMS [J].

COLLINS, JJ ;

CHOW, CC ;

IMHOFF, TT .

PHYSICAL REVIEW E, 1995, 52 (04) :R3321-R3324

[4]

EBELIG W, 1989, NOISE NONLINEAR DYNA

[5] IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].

FITZHUGH, R .

BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&

[6] THE ESCAPE TIME IN NONPOTENTIAL SYSTEMS [J].

GARDINER, CW .

JOURNAL OF STATISTICAL PHYSICS, 1983, 30 (01) :157-177

[7] NON-DYNAMICAL STOCHASTIC RESONANCE - THEORY AND EXPERIMENTS WITH WHITE AND ARBITRARILY COLORED NOISE [J].

GINGL, Z ;

KISS, LB ;

MOSS, F .

EUROPHYSICS LETTERS, 1995, 29 (03) :191-196

[8] NON-DYNAMICAL STOCHASTIC RESONANCE - THEORY AND EXPERIMENTS WITH WHITE AND VARIOUS COLORED NOISES [J].

GINGL, Z ;

KISS, LB ;

MOSS, F .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1995, 17 (7-8) :795-802

[9]

Hille B., 1992, IONIC CHANNELS EXCIT

[10] A QUANTITATIVE DESCRIPTION OF MEMBRANE CURRENT AND ITS APPLICATION TO CONDUCTION AND EXCITATION IN NERVE [J].

HODGKIN, AL ;

HUXLEY, AF .

JOURNAL OF PHYSIOLOGY-LONDON, 1952, 117 (04) :500-544

← 1 2 3 →