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Sensitivity analysis in chaotic dynamical systems is a challenging task from a computational point of view.
Deterministic nonperiodic flow
E. Lorenz · 1963
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The fluctuation-dissipation theorem
R. Kubo · 1966
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Aerodynamic design via control theory
A. Jameson · 1988
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Sensitivity analysis and shape optimal design of axisymmetric shell structures
J. Infante Barbosa, C.M. Mota Soares, and C.A. Mota Soares · 1991
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Efficient sensitivity analysis for structural optimization
U. Kirsch · 1994
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Differentiation of SRB states
D. Ruelle · 1997
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Statistical properties of dynamical systems with some hyperbolicity
L. S. Young · 1998
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Sensitivity analysis of the climate of a chaotic system
D. J. Lea, M. R. Allen, and T. W. N. Haine · 2000
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Design sensitivity analysis and optimization of steady fluid-thermal systems
D. Balagangadhar and R. Subrata · 2001
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Analytic Sensitivity Analysis for Shape Optimization
D. Zhang, Y. Jiang, and J. Cai · 2001
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Sensitivity coefficients of single-phase flow in low-permeability heterogeneous reservoirs
C. Shi-qing, Z. Shen-zhong, H. Yan-zhang, and Z. Wei-yao · 2002
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Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution
Y. Cao, S. Li, L. Petzold, and R. Serban · 2003
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The double-cusp map for the forced Lorenz system
M. Mehta and A. K. Mittal · 2003
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Ruelle’s linear response formula, ensemble adjoint schemes and lévy flights
G. Eyink, T. Haine, and D. Lea · 2004
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Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
R. V. Abramov and A. J. Majda · 2007
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Parameter uncertainty, sensitivity analysis and prediction error in a water-balance hydrological model
Convergence of the least squares shadowing method for computing derivative of ergodic averages
Q. Wang · 2014
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Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations
Q. Wang, R. Hu, and P. Blonigan · 2014
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Least Squares Shadowing for Sensitivity Analysis of Large Chaotic Systems and Fluid Flows
P. Blonigan · 2016
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Sensitivity analysis on chaotic dynamical systems by non-intrusive least squares shadowing (NILSS)
A. Ni and Q. Wang · 2017
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Sensitivity analysis of airfoil aerodynamics during pitching motion at a Reynolds number of 1.35 ⋅ 10 5 1.35\cdot 10^{5}
F. Geng, I. Kalkman, A. S. J. Suiker, and B. Blocken · 2018
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K. K. Benke, K.E. Lowell, and A.J. Hamilton · 2008
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Performance and sensitivity analysis of supply chain alternative configurations - A case study
X. Wang, M. Yoo, R. Glardon, and J. Furbringer · 2009
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Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
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A computable realization of Ruelle’s formula for linear response of statistics in chaotic systems
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Approximating Ruelle’s linear response formula by shadowing methods
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