Attractor reconstruction for nonlinear systems: A methodological note

DOI10.1016/S0025-5564(01)00053-0zbMath0999.37057OpenAlexW2079914387WikidataQ51643271 ScholiaQ51643271MaRDI QIDQ5942613

James D. Nichols, Jonathan M. Nichols

Publication date: 28 February 2002

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(01)00053-0

zbMATH Keywords

chaosLyapunov exponentsattractor reconstructioncorrelation dimensiondelay coordinatesnonlinear time-series

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

• Determining Lyapunov exponents from a time series
• Complex dynamics in a model microbial system
• Embedology
• Robust estimation of tangent maps and Liapunov spectra
• Seasonality and chaos in a plankton-fish model
• Independent coordinates for strange attractors from mutual information
• Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator
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