Extraction of dynamical equations from chaotic data

DOI10.1016/0167-2789(92)90113-2zbMath1194.37141OpenAlexW1999165386MaRDI QIDQ994954

J. Martínez

Publication date: 13 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90113-2

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10)

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Uses Software

• Sprott's Software

Cites Work

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• Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series
• Is the dimension of chaotic attractors invariant under coordinate changes?
• Measuring the strangeness of strange attractors
• Extracting qualitative dynamics from experimental data
• Nonlinear prediction of chaotic time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• An equation for continuous chaos
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Deterministic Nonperiodic Flow
• Dynamical eigenfunction decomposition of turbulent channel flow