Critical slowing down in dynamical systems driven by nonstationary correlated noise

C Boettner, N Boers - Physical Review Research, 2022 - APS
Precursor signals for bifurcation-induced critical transitions have recently gained interest
across many research fields. Common indicators, including variance and autocorrelation …

Multifractality and network analysis of phase transition

L Zhao, W Li, C Yang, J Han, Z Su, Y Zou - PloS one, 2017 - journals.plos.org
Many models and real complex systems possess critical thresholds at which the systems
shift dramatically from one sate to another. The discovery of early-warnings in the vicinity of …

Resonances in a chaotic attractor crisis of the Lorenz flow

A Tantet, V Lucarini, HA Dijkstra - Journal of Statistical Physics, 2018 - Springer
Local bifurcations of stationary points and limit cycles have successfully been characterized
in terms of the critical exponents of these solutions. Lyapunov exponents and their …

Early warnings indicators of financial crises via auto regressive moving average models

D Faranda, FME Pons, E Giachino, S Vaienti… - … in Nonlinear Science …, 2015 - Elsevier
We address the problem of defining early warning indicators of financial crises. To this
purpose, we fit the relevant time series through a class of linear models, known as auto …

Behavior of early warnings near the critical temperature in the two-dimensional Ising model

IO Morales, E Landa, CC Angeles, JC Toledo… - PloS one, 2015 - journals.plos.org
Among the properties that are common to complex systems, the presence of critical
thresholds in the dynamics of the system is one of the most important. Recently, there has …

[HTML][HTML] Detecting regime transitions of the nocturnal and polar near-surface temperature inversion

A Kaiser, D Faranda, S Krumscheid… - Journal of the …, 2020 - journals.ametsoc.org
Detecting Regime Transitions of the Nocturnal and Polar Near-Surface Temperature
Inversion in: Journal of the Atmospheric Sciences Volume 77 Issue 8 (2020) Jump to …

[HTML][HTML] Empirical Low-Dimensional Dynamics of Atmospheric Stable Boundary Layer Temperature Inversions

E Ramsey, AH Monahan - Journal of the Atmospheric …, 2022 - journals.ametsoc.org
The atmospheric stable boundary layer (SBL) is observed to display multiple regimes of
stratification, flow, and turbulence. Transitions between weakly stable regimes of sustained …

Dynamical stability indicator based on autoregressive moving-average models: Critical transitions and the Atlantic meridional overturning circulation

M Rodal, S Krumscheid, G Madan… - … Journal of Nonlinear …, 2022 - pubs.aip.org
A statistical indicator for dynamic stability, known as the Υ indicator, is used to gauge the
stability and, hence, detect approaching tipping points of simulation data from a reduced five …

A wavelet-based approach to detect climate change on the coherent and turbulent component of the atmospheric circulation

D Faranda, D Defrance - Earth System Dynamics, 2016 - esd.copernicus.org
The modifications of atmospheric circulation induced by anthropogenic effects are difficult to
capture because wind fields feature a complex spectrum where the signal of large-scale …

Probing turbulence intermittency via autoregressive moving-average models

D Faranda, B Dubrulle, F Daviaud, FME Pons - Physical Review E, 2014 - APS
We suggest an approach to probing intermittency corrections to the Kolmogorov law in
turbulent flows based on the autoregressive moving-average modeling of turbulent time …