Simplified least squares shadowing sensitivity analysis for chaotic ODEs and PDEs

DOI10.1016/j.jcp.2016.10.035zbMath1406.65132arXiv1601.05061OpenAlexW2291989135MaRDI QIDQ1714423

Mario Chater, Angxiu Ni, Qiqi Wang

Publication date: 31 January 2019

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

Full work available at URL: https://arxiv.org/abs/1601.05061

zbMATH Keywords

chaossensitivity analysisadjoint equationlinear responseunsteady adjointleast squares shadowing

Mathematics Subject Classification ID

Numerical differentiation (65D25) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Complex behavior and chaotic systems of ordinary differential equations (34C28) Numerical chaos (65P20)

Related Items (1)

Importance Sampling for Pathwise Sensitivity of Stochastic Chaotic Systems

Cites Work

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• Least squares shadowing sensitivity analysis of chaotic limit cycle oscillations
• Sensitivity analysis of limit cycle oscillations
• Hyperbolic Chaos
• Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights
• 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

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