CHAOS AND WEATHER FORECASTING: THE ROLE OF THE UNSTABLE SUBSPACE IN PREDICTABILITY AND STATE ESTIMATION PROBLEMS

DOI10.1142/S0218127411030635zbMath1270.86008MaRDI QIDQ2843663

Anna Trevisan, Luigi Palatella

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

predictabilitydata assimilationLyapunov vectors

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Meteorology and atmospheric physics (86A10)

Related Items (6)

Accuracy and stability of filters for dissipative PDEs ⋮ Guess-Work and Reasonings on Centennial Evolution of Surface Air Temperature in Russia. Part V: Stability Margin Towards Emergency ⋮ Design of positive, negative, and alternating sign generalized logistic maps ⋮ Accuracy of Some Approximate Gaussian Filters for the Navier--Stokes Equation in the Presence of Model Error ⋮ Guess-Work and Reasonings on Centennial Evolution of Surface Air Temperature in Russia: Is it Possible to Build Bifurcation Diagrams Based on Extra-Short Local Observations? ⋮ MODEL IMPERFECTION AND PREDICTING PREDICTABILITY

Cites Work

• The local structure of a chaotic attractor in four dimensions
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Data assimilation and numerical forecasting with imperfect models: the mapping paradigm
• Ensemble forecasting
• Stochastic processes and filtering theory
• Conditioning of the Stable, Discrete-Time Lyapunov Operator
• FINITE TIME BEHAVIOR OF SMALL ERRORS IN DETERMINISTIC CHAOS AND LYAPUNOV EXPONENTS
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow

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