4 papers
Time-Lagged Recurrence: a data-driven method to estimate the predictability of dynamical systems
Chenyu Dong, Davide Faranda, Adriano Gualandi +2
Nonlinear dynamical systems are ubiquitous in nature and they are hard to forecast. Not only they may be sensitive to small perturbations in their initial conditions, but they are…
Spatio-temporal Dynamical Indices for Complex Systems
Chenyu Dong, Gabriele Messori, Davide Faranda +3
Complex systems span multiple spatial and temporal scales, making their dynamics challenging to understand and predict. This challenge is especially daunting when one wants to stud…
Deficiency of equation-finding approach to data-driven modeling of dynamical systems
Zheng-Meng Zhai, Valerio Lucarini, Ying-Cheng Lai
Finding the governing equations from data by sparse optimization has become a popular approach to deterministic modeling of dynamical systems. Considering the physical situations w…
Saddle avoidance of noise-induced transitions in multiscale systems
Reyk Börner, Ryan Deeley, Raphael Römer +3
In multistable dynamical systems driven by weak Gaussian noise, transitions between competing states are often assumed to pass via a saddle on the separating basin boundary. By con…