Turbulence has associated chaotic features. In the past couple of decades, there has been
growing interest in the study of these features as an alternative means of understanding …

Long-time averages of outputs from chaotic dynamical systems exhibit high-frequency
oscillations in parameter space, which makes gradient-based optimization impractical. We …

Backpropagation in hyperbolic chaos via adjoint shadowing Page 1 Nonlinearity PAPER •
OPEN ACCESS Backpropagation in hyperbolic chaos via adjoint shadowing To cite this …

Imaginary perturbation is used in the complex step differentiation method to compute first-
order derivatives, widely known as an effective approach for sensitivity analysis in structural …

We consider the effect of multiple stochastic parameters on the time-average quantities of
chaotic systems. We employ the recently proposed sensitivity-enhanced generalized …

In this thesis, I aim to find solutions to the NP-hard sign-problem that arises when modeling
strongly correlated systems in real-time. I will use the complex Langevin (CLE) method, and …

The linear response theory (LRT) provides a set of powerful mathematical tools for the
analysis of system's reactions to controllable perturbation. In applied sciences, LRT is …