Distortions of reconstruction for chaotic attractors

DOI10.1016/S0167-2789(96)00234-5zbMath1008.37501OpenAlexW2111223094MaRDI QIDQ5961755

Alexey B. Potapov

Publication date: 26 February 1997

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00234-5

zbMATH Keywords

nonlinear dynamical systemschaotic attractorslinear distortionslocal linear analysisminimal embedding dimensionnonlinear distortionsreconstruction distortionsreconstruction mappingscalar time series

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Related Items (4)

Phase-space prediction of chaotic time series ⋮ Fractional derivative reconstruction of forced oscillators ⋮ The nonlinear chaotic model reconstruction for the experimental data obtained from different dynamic system ⋮ Fractional derivatives applied to phase-space reconstructions

Cites Work

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• Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria
• State space reconstruction in the presence of noise
• Infinite-dimensional dynamical systems in mechanics and physics
• An analytic approach to practical state space reconstruction
• Generalized Lyapunov exponents corresponding to higher derivatives
• Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
• Embedology
• Time-series analysis
• An introduction to synergetics
• Ergodic theory of chaos and strange attractors

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