28 citations · 119 across the 17 of their papers we have counts for
5 papers · 1 filter
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,…
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…
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…