Abstract

We review several aspects of the analysis of time sequences, and concentrate on recent methods using concepts from the theory of nonlinear dynamical systems. In particular, we discuss problems in estimating attractor dimensions, entropies, and Lyapunov exponents, in reducing noise and in forecasting. For completeness and since we want to stress connections to more traditional (mostly spectrum-based) methods, we also give a short review of spectral methods.

Keywords

AttractorLyapunov exponentNonlinear systemSequence (biology)Completeness (order theory)MathematicsStatistical physicsDynamical systems theoryNonlinear dynamical systemsSpectral analysisApplied mathematicsNoise (video)Computer scienceChaoticMathematical analysisArtificial intelligencePhysics

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Publication Info

Year
1991
Type
article
Volume
01
Issue
03
Pages
521-547
Citations
528
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Closed

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Peter Grassberger, Thomas Schreiber, Carsten Schaffrath (1991). NONLINEAR TIME SEQUENCE ANALYSIS. International Journal of Bifurcation and Chaos , 01 (03) , 521-547. https://doi.org/10.1142/s0218127491000403

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DOI
10.1142/s0218127491000403