Spurious Lyapunov Exponents Computed from Data

DOI10.1137/040619211zbMath1210.34069OpenAlexW1982309843MaRDI QIDQ5309782

Joshua A. Tempkin, James A. Yorke

Publication date: 2 October 2007

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040619211

zbMATH Keywords

embeddingLyapunov exponentsattractor reconstructiontime-series analysis

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

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Measurements of a Physical Process Satisfy a Difference Equation ⋮ Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations ⋮ Evaluating Lyapunov exponent spectra with neural networks ⋮ The Lyapunov dimension and its estimation via the Leonov method ⋮ The Many Facets of Chaos

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