On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer
type: Item
instance of: scholarly article
title: On the analysis of pseudo-orbits of continuous chaotic nonlinear systems simulated using discretization schemes in a digital computer
zbMATH Open document ID: 1373.34074
author: Erivelton Geraldo Nepomuceno
author: Eduardo M. A. M. Mendes
published in: Chaos, Solitons and Fractals
publication date: 2017-11-02T00:00:00Z
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 6802216
zbMATH Keywords: nonlinear dynamics systems
zbMATH Keywords: chaos
zbMATH Keywords: discretization schemes
zbMATH Keywords: pseudo-orbit
zbMATH Keywords: lower bound error
zbMATH Keywords: Lyapunov exponent
describes a project that uses: Octave
MaRDI profile type: Publication
full work available at URL: j.chaos.2016.12.002
OpenAlex ID: W2565313425
cites work: On Devaney's Definition of Chaos
cites work: Nonlinear system identification. NARMAX methods in the time, frequency, and spatio-temporal domains
cites work: What good are numerical simulations of chaotic dynamical systems?
cites work: ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR
cites work: Chaotic attractors of an infinite-dimensional dynamical system
cites work: The Topology of Chaos
cites work: Do numerical orbits of chaotic dynamical processes represent true orbits?
cites work: On the Interaction of Roundoff Noise and Dynamic Range in Digital Filters*
cites work: Elementary quadratic chaotic flows with no equilibria
cites work: High precision numerical estimation of the largest Lyapunov exponent
cites work: NONSTANDARD DISCRETIZATION SCHEMES APPLIED TO THE CONSERVATIVE HÉNON–HEILES SYSTEM
cites work: Can We Obtain a Reliable Convergent Chaotic Solution in any Given Finite Interval of Time?
cites work: Physical limit of prediction for chaotic motion of three-body problem
cites work: Deterministic Nonperiodic Flow
cites work: Computational chaos - a prelude to computational instability
cites work: Can we trust in numerical computations of chaotic solutions of dynamical systems?
cites work: Oscillation and Chaos in Physiological Control Systems
cites work: A Very Simple Method to Calculate the (Positive) Largest Lyapunov Exponent Using Interval Extensions
cites work: Digital filter realizations without overflow oscillations
cites work: Q3494828
cites work: Principal component analysis in linear systems: Controllability, observability, and model reduction
cites work: Q4057488
cites work: Finite-memory problems and algorithms
cites work: A Simple Chaotic Flow with a Continuously Adjustable Attractor Dimension
cites work: Chaos in Dynamical Systems
cites work: Q5494284
cites work: A practical method for calculating largest Lyapunov exponents from small data sets
cites work: An equation for hyperchaos
cites work: Floating-Point-Roundoff Accumulation in Digital-Filter Realizations
cites work: Q3654864
cites work: Determining Lyapunov exponents from a time series
DOI: 10.1016/J.CHAOS.2016.12.002
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description: scientific article; zbMATH DE number 6802216