Probability density adjoint for sensitivity analysis of the mean of chaos

DOI10.1016/j.jcp.2014.04.027zbMath1349.82044arXiv1306.3800OpenAlexW2130443691MaRDI QIDQ349225

Patrick J. Blonigan, Qiqi Wang

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3800

zbMATH Keywords

chaossensitivity analysis

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? ⋮ An optimization method for chaotic turbulent flow ⋮ Least squares shadowing sensitivity analysis of a modified Kuramoto-Sivashinsky equation ⋮ Adjoint sensitivity analysis of chaotic dynamical systems with non-intrusive least squares shadowing ⋮ Multiple shooting shadowing for sensitivity analysis of chaotic dynamical systems ⋮ Periodic shadowing sensitivity analysis of chaotic systems ⋮ Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems

Cites Work

• Unnamed Item
• Aerodynamic design via control theory
• Differentiation of SRB states
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Forward and adjoint sensitivity computation of chaotic dynamical systems
• Markov finite approximation of Frobenius-Perron operator
• Deterministic Nonperiodic Flow
• Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights
• Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
• Information Theory and Stochastics for Multiscale Nonlinear Systems

This page was built for publication: Probability density adjoint for sensitivity analysis of the mean of chaos