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
收藏
页数:8
相关论文
共 50 条
  • [21] On the influence of noise on the largest Lyapunov exponent of attractors of stochastic dynamic systems
    Argyris, John
    Andreadis, Ioannis
    Chaos, solitons and fractals, 1998, 9 (06): : 959 - 963
  • [22] A novel method based on the pseudo-orbits to calculate the largest Lyapunov exponent from chaotic equations
    Zhou, Shuang
    Wang, Xingyuan
    Wang, Zhen
    Zhang, Chuan
    CHAOS, 2019, 29 (03)
  • [23] Noise induced destruction of zero Lyapunov exponent in coupled chaotic systems
    Liu, ZH
    Ma, WC
    PHYSICS LETTERS A, 2005, 343 (04) : 300 - 305
  • [24] Simple estimation method for the second-largest Lyapunov exponent of chaotic differential equations
    Zhou, Shuang
    Wang, Xingyuan
    CHAOS SOLITONS & FRACTALS, 2020, 139
  • [25] An analytic estimation for the largest Lyapunov exponent of the Rossler chaotic system based on the synchronization method
    Zhen, Bin
    Liu, Wenwen
    Pei, Lijun
    ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (04): : 2642 - 2664
  • [26] Identifying the linear region based on machine learning to calculate the largest Lyapunov exponent from chaotic time series
    Zhou, Shuang
    Wang, Xingyuan
    CHAOS, 2018, 28 (12)
  • [27] A METHOD FOR DETERMINING NOISE-LEVEL USING THE DISCRETE LYAPUNOV EXPONENT
    ILIN, AV
    TIMASHOVA, NG
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1991, 31 (04) : 103 - 106
  • [28] Symbolic diffusion entropy rate of chaotic time series as a surrogate measure for the largest Lyapunov exponent
    Shiozawa, Kota
    Miyano, Takaya
    PHYSICAL REVIEW E, 2019, 100 (03)
  • [29] Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces
    Odavic, Jovan
    Mali, Petar
    Tekic, Jasmina
    Pantic, Milan
    Pavkov-Hrvojevic, Milica
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 47 : 100 - 108
  • [30] Chaotic Analysis of the Real Estate Investment Trusts Index Returns: An Application of the Largest Lyapunov Exponent
    Anoruo, Emmanuel
    JOURNAL OF APPLIED ECONOMICS AND BUSINESS RESEARCH, 2020, 10 (04): : 221 - 233