514 citations · 1.7k across the 51 of their papers we have counts for
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Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems
Adam A. Sliwiak, Nisha Chandramoorthy, Qiqi Wang
An assumption of smooth response to small parameter changes, of statistics or long-time averages of a chaotic system, is generally made in the field of sensitivity analysis, and th…
On the probability of finding a nonphysical solution through shadowing
Nisha Chandramoorthy, Qiqi Wang
This paper proves that shadowing solutions can be almost surely nonphysical. This finding invalidates the argument that small perturbations in a chaotic system can only have a smal…
Ergodic Sensitivity Analysis of One-Dimensional Chaotic Maps
Adam A. Sliwiak, Nisha Chandramoorthy, Qiqi Wang
Sensitivity analysis in chaotic dynamical systems is a challenging task from a computational point of view. In this work, we present a numerical investigation of a novel approach,…
An ergodic averaging method to differentiate covariant Lyapunov vectors
Nisha Chandramoorthy, Qiqi Wang
Covariant Lyapunov vectors or CLVs span the expanding and contracting directions of perturbations along trajectories in a chaotic dynamical system. Due to efficient algorithms to c…
Sensitivity computation of statistically stationary quantities in turbulent flows
Nisha Chandramoorthy, Qiqi Wang
It is well-known that linearized perturbation methods for sensitivity analysis, such as tangent or adjoint equation-based, finite difference and automatic differentiation are not s…
Multiple Shooting Shadowing for Sensitivity Analysis of Chaotic Dynamical Systems
Patrick J. Blonigan, Qiqi Wang
Sensitivity analysis methods are important tools for research and design with simulations. Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent…
Least Squares Shadowing Sensitivity Analysis of a Modified Kuramoto-Sivashinsky Equation
Patrick J. Blonigan, Qiqi Wang
Computational methods for sensitivity analysis are invaluable tools for scientists and engineers investigating a wide range of physical phenomena. However, many of these methods fa…