Distance correlation detecting Lyapunov instabilities, noise-induced escape times and mixing
CFO Mendes, MW Beims - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
The properties of the statistical method of distance correlation between multivariate data are
analysed in the context of nonlinear dynamical systems. The distance correlation between …
analysed in the context of nonlinear dynamical systems. The distance correlation between …
Importance sampling of rare events in chaotic systems
Finding and sampling rare trajectories in dynamical systems is a difficult computational task
underlying numerous problems and applications. In this paper we show how to construct …
underlying numerous problems and applications. In this paper we show how to construct …
Taming chaos to sample rare events: The effect of weak chaos
Rare events in nonlinear dynamical systems are difficult to sample because of the sensitivity
to perturbations of initial conditions and of complex landscapes in phase space. Here, we …
to perturbations of initial conditions and of complex landscapes in phase space. Here, we …