A statistical framework for testing chaotic dynamics via Lyapunov exponents
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Publication:1904329
DOI10.1016/0167-2789(95)00230-8zbMath0886.58052OpenAlexW2071390412WikidataQ127212407 ScholiaQ127212407MaRDI QIDQ1904329
Publication date: 19 December 1995
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(95)00230-8
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99)
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Cites Work
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- Determining Lyapunov exponents from a time series
- An algorithm for the \(n\) Lyapunov exponents of an \(n\)-dimensional unknown dynamical system
- Variation of Lyapunov exponents on a strange attractor
- Local Lyapunov exponents computed from observed data
- Distinguishing random and deterministic systems: Abridged version
- An attractor in a solar time series
- The jackknife and the bootstrap for general stationary observations
- Resampling estimation when observations are m–dependent
- LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA
- Estimating the Lyapunov Exponent of a Chaotic System With Nonparametric Regression
- Ergodic theory of chaos and strange attractors
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