Linear response for macroscopic observables in high-dimensional systems
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Publication:5205681
DOI10.1063/1.5122740zbMath1432.37106arXiv1907.13490OpenAlexW3105439628WikidataQ91515295 ScholiaQ91515295MaRDI QIDQ5205681
Georg A. Gottwald, Caroline L. Wormell
Publication date: 13 December 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.13490
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Computational methods for attractors of dynamical systems (37M22)
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Cites Work
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- Mean-field coupling of identical expanding circle maps
- A semi-invertible Oseledets theorem with applications to transfer operator cocycles
- Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps
- New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems
- Meromorphic extensions of generalised zeta functions
- Differentiation of SRB states
- Regular or stochastic dynamics in real analytic families of unimodal maps
- Dynamical ensembles in stationary states.
- Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
- Almost every real quadratic map is either regular or stochastic.
- On mean field fluctuations in globally coupled maps
- On mean field fluctuations in globally coupled logistic-type maps
- General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium
- Exponential decay of correlations for random Lasota-Yorke maps
- On the validity of linear response theory in high-dimensional deterministic dynamical systems
- On spurious detection of linear response and misuse of the fluctuation-dissipation theorem in finite time series
- Approximate linear response for slow variables of dynamics with explicit time scale separation
- A test for a conjecture on the nature of attractors for smooth dynamical systems
- High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability
- Positive Liapunov exponents and absolute continuity for maps of the interval
- Large deviations for nonuniformly hyperbolic systems
- A simple framework to justify linear response theory
- A review of linear response theory for general differentiable dynamical systems
- Globally coupled chaos violates the law of large numbers but not the central-limit theorem
- CENTRAL LIMIT THEOREM FOR THE MODULUS OF CONTINUITY OF AVERAGES OF OBSERVABLES ON TRANSVERSAL FAMILIES OF PIECEWISE EXPANDING UNIMODAL MAPS
- Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds—a contribution to the Gallavotti–Cohen chaotic hypothesis
- Construction of the linear response operator of an atmospheric general circulation model to small external forcing
- Lyapunov exponents and rates of mixing for one-dimensional maps
- Thermodynamic Formalism
- Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
- Alternative proofs of linear response for piecewise expanding unimodal maps
- Homogenization for deterministic maps and multiplicative noise
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
- Linear response formula for piecewise expanding unimodal maps
- Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type
