Detection of chaotic determinism in time series from randomly forced maps

DOI10.1016/S0167-2789(96)00159-5zbMath0913.62080OpenAlexW1967303067WikidataQ52280180 ScholiaQ52280180MaRDI QIDQ2564786

Jørgen K. Kanters, Richard J. Cohen, Ki H. Chon, Niels-Henrik Holstein-Rathlou

Publication date: 3 February 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00159-5

zbMATH Keywords

determinismtime seriesnonlinear autoregressive modelheart rate variability data

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (10)

Study on prediction methods for dynamic systems of nonlinear chaotic time series ⋮ Nonlinear dynamical system identification with dynamic noise and observational noise ⋮ Statistical analysis of symbolic dynamics in weakly coupled chaotic oscillators ⋮ The use of synthetic input sequences in time series modeling ⋮ Reconstructing nonlinear structure in regression residuals ⋮ Modeling global vector fields of chaotic systems from noisy time series with the aid of structure-selection techniques ⋮ Investigation of determinism in heart rate variability ⋮ LOCAL BOX-COUNTING TO DETERMINE FRACTAL DIMENSION OF HIGH-ORDER CHAOS ⋮ Time series-based bifurcation diagram reconstruction ⋮ Modeling nonlinear dynamics and chaos: a review

Cites Work

• Unnamed Item
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• Determining Lyapunov exponents from a time series
• A robust orthogonal algorithm for system identification and time-series analysis
• Finite correlation dimension for stochastic systems with power-law spectra
• Evidence of low dimensional chaos in renal blood flow control in genetic and experimental hypertension
• Comparison of Different Methods for Computing Lyapunov Exponents
• Prediction error estimator for non-linear stochastic systems
• Estimating the Lyapunov Exponent of a Chaotic System With Nonparametric Regression
• Ergodic theory of chaos and strange attractors
• Oscillation and Chaos in Physiological Control Systems
• A new look at the statistical model identification

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