Fluctuations, response, and resonances in a simple atmospheric model
From MaRDI portal
Publication:1686639
DOI10.1016/j.physd.2017.02.015zbMath1376.37127arXiv1604.04386OpenAlexW2341299182MaRDI QIDQ1686639
Valerio Lucarini, Andrey S. Gritsun
Publication date: 15 December 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.04386
resonant responsefluctuation-dissipation theoremunstable periodic orbitsRuelle response theoryatmospheric modelcovariant Lyapunov vectors
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Simulation of dynamical systems (37M05) PDEs in connection with geophysics (35Q86)
Related Items (16)
Linear response theory for nonlinear stochastic differential equations with \(\alpha\)-stable Lévy noises ⋮ Recursive divergence formulas for perturbing unstable transfer operators and physical measures ⋮ Backpropagation in hyperbolic chaos via adjoint shadowing ⋮ Response formulae forn-point correlations in statistical mechanical systems and application to a problem of coarse graining ⋮ Sensitivity analysis on chaotic dynamical systems by finite difference non-intrusive least squares shadowing (FD-NILSS) ⋮ Adjoint sensitivity analysis on chaotic dynamical systems by non-intrusive least squares adjoint shadowing (NILSAS) ⋮ Universal upper estimate for prediction errors under moderate model uncertainty ⋮ Resonances in a chaotic attractor crisis of the Lorenz flow ⋮ Response theory and phase transitions for the thermodynamic limit of interacting identical systems ⋮ Approximating Linear Response by Nonintrusive Shadowing Algorithms ⋮ Revising and extending the linear response theory for statistical mechanical systems: evaluating observables as predictors and predictands ⋮ Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems ⋮ Edge states in the climate system: exploring global instabilities and critical transitions ⋮ Introduction to the special issue on the statistical mechanics of climate ⋮ Detecting regime transitions in time series using dynamic mode decomposition ⋮ Response and sensitivity using Markov chains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-level dynamical systems: connecting the Ruelle response theory and the Mori-Zwanzig approach
- Stochastic perturbations to dynamical systems: a response theory approach
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Predicting climate change using response theory: global averages and spatial patterns
- Stochastic climate dynamics: random attractors and time-dependent invariant measures
- Response theory for equilibrium and non-equilibrium statistical mechanics: Causality and generalized Kramers-Kronig relations
- Climate dynamics and fluid mechanics: Natural variability and related uncertainties
- Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system
- Dimension and product structure of hyperbolic measures
- Differentiation of SRB states
- Theory and computation of covariant Lyapunov vectors
- Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study
- General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium
- Forward and adjoint sensitivity computation of chaotic dynamical systems
- Nonequilibrium and irreversibility
- Smooth Anosov flows: Correlation spectra and stability
- Connection of periodic orbits and variability patterns of circulation for the barotropic model of atmospheric dynamics
- Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
- Statistical characteristics, circulation regimes and unstable periodic orbits of a barotropic atmospheric model
- Causality and dispersion relations for fixed momentum transfer
- Unstable periodic trajectories of a barotropic model of the atmosphere
- A review of linear response theory for general differentiable dynamical systems
- Ergodic theory of chaos and strange attractors
- Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights
- Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
This page was built for publication: Fluctuations, response, and resonances in a simple atmospheric model
