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Estimation of Lyapunov spectrum and model selection for a chaotic time series

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Publication:345496
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DOI10.1016/j.apm.2012.01.024zbMath1349.62414OpenAlexW1992499577MaRDI QIDQ345496

Qinglan Li, Peng-cheng Xu

Publication date: 2 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.01.024


zbMATH Keywords

Lyapunov spectrumchaotic time serieslocal linear modelpolynomial modelradial basis function model


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Point estimation (62F10) Inference from stochastic processes and spectral analysis (62M15) Time series analysis of dynamical systems (37M10)




Cites Work

  • A two-dimensional mapping with a strange attractor
  • An equation for continuous chaos
  • Regularization Algorithms for Learning That Are Equivalent to Multilayer Networks
  • On Measuring and Correcting the Effects of Data Mining and Model Selection
  • Deterministic Nonperiodic Flow
  • Nonlinear Time Series Analysis
  • New resampling method to assess the accuracy of the maximal Lyapunov exponent estimation
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