Determining the largest Lyapunov exponent of chaotic dynamics from sequences of interspike intervals contaminated by noise

被引：7

作者：

Pavlov, Alexey N. ^{[1
,2
]}

Pavlova, Olga N. ^{[2
]}

Kurths, Juergen ^{[3
,4
]}

机构：

[1] Saratov State Tech Univ, Dept Elect Engn & Elect, Politech Skaya Str 77, Saratov 410054, Russia

[2] Saratov NG Chernyshevskii State Univ, Dept Phys, Astrakhanskaya Str 83, Saratov 410012, Russia

[3] Potsdam Inst Climate Impact Res, Telegraphenberg A 31, D-14473 Potsdam, Germany

[4] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

来源：

EUROPEAN PHYSICAL JOURNAL B | 2017年 / 90卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

TIME-SERIES; RECONSTRUCTION; ATTRACTORS; LIMITATIONS; SYSTEMS;

D O I：

10.1140/epjb/e2017-70439-7

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We discuss abilities of quantifying low-dimensional chaotic oscillations at the input of two threshold models from the output sequences of interspike intervals in the presence of noise. We propose a modification of the standard approach for computing the largest Lyapunov exponent from a time series that verifies the performed estimations for noisy data. We consider features of its application to different types of point processes.

引用

页数：8

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