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The problem of spurious Lyapunov exponents in time series analysis and its solution by covariant Lyapunov vectors

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Publication:2841028
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DOI10.1088/1751-8113/46/25/254009zbMath1351.37124OpenAlexW2042245058MaRDI QIDQ2841028

Hongliu Yang, Holger Kantz, Günter Radons

Publication date: 24 July 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/46/25/254009


zbMATH Keywords

approximation methodLyapunov vector


Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)


Related Items (4)

Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data ⋮ Correlation dimension and phase space contraction via extreme value theory ⋮ Experimental Evidence of Chaos Generated by a Minimal Universal Oscillator Model ⋮ Data resampling: An approach for improving characterization of complex dynamics from noisy interspike intervals


Uses Software

  • TISEAN



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