Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds
DOI10.1137/21M1405599zbMath1497.37103arXiv2103.08816OpenAlexW3137678631MaRDI QIDQ5072970
Qiqi Wang, Nisha Chandramoorthy
Publication date: 5 May 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08816
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Sensitivity analysis for optimization problems on manifolds (49Q12) Computational methods for attractors of dynamical systems (37M22)
Related Items (4)
Cites Work
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- Linear response for intermittent maps
- Stochastic perturbations to dynamical systems: a response theory approach
- Hölder foliations
- Sensitivity analysis on chaotic dynamical systems by non-intrusive least squares shadowing (NILSS)
- Linear response in the intermittent family: differentiation in a weighted \(C^0\)-norm
- Extreme sensitivity and climate tipping points
- Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties
- A vector-valued almost sure invariance principle for hyperbolic dynamical systems
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Statistical properties of dynamical systems with some hyperbolicity
- Differentiation of SRB states
- What are SRB measures, and which dynamical systems have them?
- Differentiation of SRB states: Correction and complements
- Adjoint sensitivity analysis of chaotic dynamical systems with non-intrusive least squares shadowing
- Limit theorems and Markov approximations for chaotic dynamical systems
- On differentiability of SRB states for partially hyperbolic systems
- On the validity of linear response theory in high-dimensional deterministic dynamical systems
- Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems
- On the probability of finding nonphysical solutions through shadowing
- Adjoint sensitivity analysis on chaotic dynamical systems by non-intrusive least squares adjoint shadowing (NILSAS)
- Covariant Lyapunov vectors
- Differentiating potential functions of SRB measures on hyperbolic attractors
- Approximation by Brownian motion for Gibbs measures and flows under a function
- A simple framework to justify linear response theory
- A review of linear response theory for general differentiable dynamical systems
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Prevalence of non-Lipschitz Anosov foliations
- Projected Shadowing-Based Data Assimilation
- Least Squares Shadowing Method for Sensitivity Analysis of Differential Equations
- Sensitivity Analysis of Chaotic Systems Using Unstable Periodic Orbits
- Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
- A rigorous computational approach to linear response
- Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights
- Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
- Linear response in neuronal networks: From neurons dynamics to collective response
- Linear response for macroscopic observables in high-dimensional systems
- Effects of Periodic Forcing on a Paleoclimate Delay Model
- A linear response for dynamical systems with additive noise
- Differentiation of SRB states for hyperbolic flows
- Convergence of the Least Squares Shadowing Method for Computing Derivative of Ergodic Averages
- Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
- Differentiability of thermodynamical quantities in non uniformly expanding dynamics
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