Adjoint sensitivity analysis of chaotic dynamical systems with non-intrusive least squares shadowing
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Publication:1694647
DOI10.1016/j.jcp.2017.08.002zbMath1380.65429OpenAlexW2742402763MaRDI QIDQ1694647
Publication date: 6 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.08.002
Numerical optimization and variational techniques (65K10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Complex behavior and chaotic systems of ordinary differential equations (34C28) Numerical nonlinear stabilities in dynamical systems (65P40)
Related Items (12)
An optimization method for chaotic turbulent flow ⋮ Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds ⋮ Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos ⋮ On the Application of Optimal Control Techniques to the Shadowing Approach for Time Averaged Sensitivity Analysis of Chaotic Systems ⋮ Recursive divergence formulas for perturbing unstable transfer operators and physical measures ⋮ Backpropagation in hyperbolic chaos via adjoint shadowing ⋮ Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow ⋮ Adjoint sensitivity analysis on chaotic dynamical systems by non-intrusive least squares adjoint shadowing (NILSAS) ⋮ A preconditioned multiple shooting shadowing algorithm for the sensitivity analysis of chaotic systems ⋮ Feedback control of chaotic systems using multiple shooting shadowing and application to Kuramoto–Sivashinsky equation ⋮ Approximating Linear Response by Nonintrusive Shadowing Algorithms ⋮ Stability, sensitivity and optimisation of chaotic acoustic oscillations
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