39 citations · 180 across the 10 of their papers we have counts for
10 papers
Reconstruction, forecasting, and stability of chaotic dynamics from partial data
Elise Özalp, Georgios Margazoglou, Luca Magri
The forecasting and computation of the stability of chaotic systems from partial observations are tasks for which traditional equation-based methods may not be suitable. In this co…
Data-driven stability analysis of a chaotic time-delayed system
Georgios Margazoglou, Luca Magri
Systems with time-delayed chaotic dynamics are common in nature, from control theory to aeronautical propulsion. The overarching objective of this paper is to compute the stability…
Physics-Informed Long Short-Term Memory for Forecasting and Reconstruction of Chaos
Elise Özalp, Georgios Margazoglou, Luca Magri
We present the Physics-Informed Long Short-Term Memory (PI-LSTM) network to reconstruct and predict the evolution of unmeasured variables in a chaotic system. The training is const…
Stability analysis of chaotic systems from data
Georgios Margazoglou, Luca Magri
The prediction of the temporal dynamics of chaotic systems is challenging because infinitesimal perturbations grow exponentially. The analysis of the dynamics of infinitesimal pert…
Non-equilibrium Ensembles for the three-dimensional Navier-Stokes Equations
Georgios Margazoglou, Luca Biferale, Massimo Cencini +2
At the molecular level fluid motions are, by first principles, described by time reversible laws. On the other hand, the coarse grained macroscopic evolution is suitably described…
Lévy-noise versus Gaussian-noise-induced Transitions in the Ghil-Sellers Energy Balance Model
Valerio Lucarini, Larissa Serdukova, Georgios Margazoglou
We study the impact of applying stochastic forcing to the Ghil-Sellers energy balance climate model in the form of a fluctuating solar irradiance. Through numerical simulations, we…
Dynamical Landscape and Multistability of a Climate Model
Georgios Margazoglou, Tobias Grafke, Alessandro Laio +1
We apply two independent data analysis methodologies to locate stable climate states in an intermediate complexity climate model and analyze their interplay. First, drawing from th…
Instanton based importance sampling for rare events in stochastic PDEs
Lasse Ebener, Georgios Margazoglou, Jan Friedrich +2
We present a new method for sampling rare and large fluctuations in a non-equilibrium system governed by a stochastic partial differential equation (SPDE) with additive forcing. To…
A Hybrid Monte Carlo algorithm for sampling rare events in space-time histories of stochastic fields
G. Margazoglou, L. Biferale, R. Grauer +4
We introduce a variant of the Hybrid Monte Carlo (HMC) algorithm to address large-deviation statistics in stochastic hydrodynamics. Based on the path-integral approach to stochasti…
Multiscale velocity correlations in turbulence and Burgers turbulence: Fusion rules, Markov processes in scale, and multifractal predictions
Jan Friedrich, Georgios Margazoglou, Luca Biferale +1
We compare different approaches towards an effective description of multi-scale velocity field correlations in turbulence. Predictions made by the operator product expansion, the s…