Modulated escape from a metastable state driven by colored noise

被引：27

作者：

Schuecker, Jannis ^{[1
,2
,3
]}

Diesmann, Markus ^{[1
,2
,3
,4
,5
]}

Helias, Moritz ^{[1
,2
,3
,5
]}

机构：

[1] Forschungszentrum Julich, Inst Neurosci & Med INM 6, D-52425 Julich, Germany

[2] Forschungszentrum Julich, Inst Adv Simulat IAS 6, D-52425 Julich, Germany

[3] Forschungszentrum Julich, JARA BRAIN Inst 1, D-52425 Julich, Germany

[4] Rhein Westfal TH Aachen, Dept Psychiat Psychotherapy & Psychosomat, Fac Med, Aachen, Germany

[5] Rhein Westfal TH Aachen, Dept Phys, Fac 1, Aachen, Germany

来源：

PHYSICAL REVIEW E | 2015年 / 92卷 / 05期

关键词：

PLANCK BOUNDARY-LAYER; BISTABILITY DRIVEN; GAUSSIAN-NOISE; MEAN; 1ST-PASSAGE-TIMES; THERMAL AGITATION; DYNAMICS; SPIKING; OSCILLATIONS; NETWORKS; PROBABILITY;

D O I：

10.1103/PhysRevE.92.052119

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：

Many phenomena in nature are described by excitable systems driven by colored noise. The temporal correlations in the fluctuations hinder an analytical treatment. We here present a general method of reduction to a white-noise system, capturing the color of the noise by effective and time-dependent boundary conditions. We apply the formalism to a model of the excitability of neuronal membranes, the leaky integrate-and-fire neuron model, revealing an analytical expression for the linear response of the system valid up to moderate frequencies. The closed form analytical expression enables the characterization of the response properties of such excitable units and the assessment of oscillations emerging in networks thereof.

引用

页数：11

共 62 条

[1] ASYNCHRONOUS STATES IN NETWORKS OF PULSE-COUPLED OSCILLATORS [J].