Space-Split Algorithm for Sensitivity Analysis of Discrete Chaotic Systems With Multidimensional Unstable Manifolds
From MaRDI portal
Publication:5043372
DOI10.1137/21M1452135zbMath1501.65155arXiv2109.13313OpenAlexW4304989576MaRDI QIDQ5043372
Publication date: 21 October 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.13313
sensitivity analysisMonte Carlo methodchaotic dynamical systemslinear response theoryRuelle's formulaspace-split sensitivity
Monte Carlo methods (65C05) Integration with respect to measures and other set functions (28A25) Simulation of dynamical systems (37M05) Numerical chaos (65P20) Dynamical systems in numerical analysis (37N30)
Cites Work
- Unnamed Item
- Least squares shadowing sensitivity analysis of a modified Kuramoto-Sivashinsky equation
- Sensitivity analysis on chaotic dynamical systems by non-intrusive least squares shadowing (NILSS)
- New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems
- On the concept of stationary Lyapunov basis
- Aerodynamic design via control theory
- Differentiation of SRB states
- Diffusion, effusion, and chaotic scattering: An exactly solvable Liouvillian dynamics
- What are SRB measures, and which dynamical systems have them?
- Differentiation of SRB states: Correction and complements
- Dynamical ensembles in stationary states.
- Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part II. Uncertainty quantification
- Revising and extending the linear response theory for statistical mechanical systems: evaluating observables as predictors and predictands
- Shadowing in dynamical systems
- Theory and computation of covariant Lyapunov vectors
- Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems
- On the probability of finding nonphysical solutions through shadowing
- Differentiating densities on smooth manifolds
- Hyperbolic Chaos
- A review of linear response theory for general differentiable dynamical systems
- Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
- Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds—a contribution to the Gallavotti–Cohen chaotic hypothesis
- Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights
- A Trajectory-Driven Algorithm for Differentiating SRB Measures on Unstable Manifolds
- Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds
- 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
- Expanding attractors
