6 citations · 14 across the 3 of their papers we have counts for
9 papers
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…
Variational optimization and data assimilation in chaotic time-delayed systems with automatic-differentiated shadowing sensitivity
Nisha Chandramoorthy, Luca Magri, Qiqi Wang
In this computational paper, we perform sensitivity analysis of long-time (or ensemble) averages in the chaotic regime using the shadowing algorithm. We introduce automatic differe…
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,…
A computable realization of Ruelle's formula for linear response of statistics in chaotic systems
Nisha Chandramoorthy, Qiqi Wang
We present a computable reformulation of Ruelle's linear response formula for chaotic systems. The new formula, called Space-Split Sensitivity or S3, achieves an error convergence…
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…