Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

Exit time as a measure of ecological resilience

BMS Arani, SR Carpenter, L Lahti, EH Van Nes… - Science, 2021 - science.org
INTRODUCTION Financial markets may collapse, rainforest can shift to savanna, a person
can become trapped in a depression, and the Gulf Stream can come to a standstill. Such …

The Fokker–Planck approach to complex spatiotemporal disordered systems

J Peinke, MRR Tabar, M Wächter - Annual Review of …, 2019 - annualreviews.org
When the complete understanding of a complex system is not available, as, eg, for systems
considered in the real world, we need a top-down approach to complexity. In this approach …

Learning force fields from stochastic trajectories

A Frishman, P Ronceray - Physical Review X, 2020 - APS
When monitoring the dynamics of stochastic systems, such as interacting particles agitated
by thermal noise, disentangling deterministic forces from Brownian motion is challenging …

Air quality prediction using optimal neural networks with stochastic variables

A Russo, F Raischel, PG Lind - Atmospheric Environment, 2013 - Elsevier
We apply recent methods in stochastic data analysis for discovering a set of few stochastic
variables that represent the relevant information on a multivariate stochastic system, used as …

Nonparametric forecasting of low-dimensional dynamical systems

T Berry, D Giannakis, J Harlim - Physical Review E, 2015 - APS
This paper presents a nonparametric modeling approach for forecasting stochastic
dynamical systems on low-dimensional manifolds. The key idea is to represent the discrete …

[HTML][HTML] Artificial intelligence and mathematical models of power grids driven by renewable energy sources: A survey

S Srinivasan, S Kumarasamy, ZE Andreadakis… - Energies, 2023 - mdpi.com
To face the impact of climate change in all dimensions of our society in the near future, the
European Union (EU) has established an ambitious target. Until 2050, the share of …

How to improve the estimation of power curves for wind turbines

J Gottschall, J Peinke - Environmental Research Letters, 2008 - iopscience.iop.org
We introduce a dynamical approach for the determination of power curves for wind turbines
and compare it with two common methods—among them the standard procedure due to IEC …

Spontaneous and explicit symmetry breaking of thermoacoustic eigenmodes in imperfect annular geometries

T Indlekofer, A Faure-Beaulieu, JR Dawson… - Journal of Fluid …, 2022 - cambridge.org
This article deals with the symmetry breaking of azimuthal thermoacoustic modes in annular
combustors. Using a nominally symmetric annular combustor, we present experimental …

Revealing higher-order interactions in high-dimensional complex systems: A data-driven approach

MRR Tabar, F Nikakhtar, L Parkavousi, A Akhshi… - Physical Review X, 2024 - APS
Natural and manmade complex systems are comprised of different elementary units, being
either system components or diverse subsystems as in the case of networked systems …