Nonlinear finite-time Lyapunov exponent and predictability

DOI10.1016/j.physleta.2006.11.094zbMath1203.93162OpenAlexW2164410746MaRDI QIDQ620830

Ruiqiang Ding, Jian-ping Li

Publication date: 20 January 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.11.094

zbMATH Keywords

chaosnonlinearlogistic mapLyapunov exponentpredictability

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

Quantitative study of the relative effects of initial condition and model uncertainties on local predictability in a nonlinear dynamical system ⋮ A novel quantity for identifying the repelling structures of continuous dynamical systems ⋮ Local predictability and information flow in complex dynamical systems ⋮ Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation ⋮ The finite-time expected deviation exponent for continuous dynamical systems ⋮ Machine-aided turbulence theory ⋮ Phase permutation entropy : a complexity measure for nonlinear time series incorporating phase information

Uses Software

• mathStatica

Cites Work

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• Nonlinear Time Series Analysis
• Hyperbolic lines and the stratospheric polar vortex
• Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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