Determining Lyapunov exponents from a time series
type: Item
instance of: scholarly article
title: Determining Lyapunov exponents from a time series
zbMATH Open document ID: 0585.58037
DOI: 10.1016/0167-2789(85)90011-9
author: Jack B. Swift
author: Harry L. Swinney
author: John A. Vastano
author: Alan Royce Wolf
published in: Physica D
publication date: 1985-01-01T00:00:00Z
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 3938103
zbMATH Keywords: Lyapunov spectra
zbMATH Keywords: chaos
zbMATH Keywords: dynamical system
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: dynamical behavior
zbMATH Keywords: attractor
describes a project that uses: Lyapunov Exponents for ODE
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90011-9
OpenAlex ID: W2152254020
cites work: Testing nonlinear dynamics (Meeting report)
cites work: Observation of a strange attractor
cites work: Q5646734
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: A numerical approach to ergodic problem of dissipative dynamical systems.
cites work: Q3733844
cites work: The power of chaos
cites work: Q5186444
cites work: Deterministic Nonperiodic Flow
cites work: An equation for hyperchaos
cites work: A two-dimensional mapping with a strange attractor
cites work: An equation for continuous chaos
cites work: Oscillation and Chaos in Physiological Control Systems
cites work: The Lyapunov dimension of strange attractors
cites work: Some relations between dimension and Lyapunov exponents
cites work: Q3658782
cites work: Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1]\)
Recommended article: Q3979042
Recommended article: Q4868907
Recommended article: Lyapunov exponents from observed time series
Recommended article: Lyapunov exponents from time series: Variations for an algorithm
Recommended article: Estimating the Lyapunov exponent from chaotic time series with dynamic noise
Recommended article: COMPUTING THE DISTRIBUTION OF THE LYAPUNOV EXPONENT FROM TIME SERIES: THE ONE-DIMENSIONAL CASE STUDY
Recommended article: Determination Lyapunov exponents in deterministic dynamical systems
Recommended article: Lyapunov-exponent spectrum from noisy time series
Recommended article: Analysis of positive Lyapunov exponents from random time series
Recommended article: IDENTIFICATION OF TRUE AND SPURIOUS LYAPUNOV EXPONENTS FROM TIME SERIES
description: scientific article; zbMATH DE number 3938103