Fixed points, stable manifolds, weather regimes, and their predictability

DOI10.1063/1.3230497zbMath1311.86004OpenAlexW2074008132WikidataQ51758466 ScholiaQ51758466MaRDI QIDQ5250380

Michael Ghil, Bruno Deremble, Fabio D'Andrea

Publication date: 19 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0b3a233a9bba1908b5712d0e3d4b8d16cd99afd7

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75)

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Cites Work

• Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method
• Analysis of a six-component atmospheric spectral model: Chaos, predictability and vacillation
• Experimental and numerical studies of an eastward jet over topography
• Multiple equilibria in thermosolutal convection due to salt-flux boundary conditions
• Predictability in the large: an extension of the concept of Lyapunov exponent
• Finding finite-time invariant manifolds in two-dimensional velocity fields
• Deterministic Nonperiodic Flow
• Multiple equilibria and stable oscillations in thermosolutal convection at small aspect ratio
• Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model

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