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Predictability of flow is examined in a barotropic vorticity model that admits low frequency regime transitions between zonal and dipolar states. Such transitions in the model were first studied by Bouchet and Simonnet (2009) and are…

Chaotic Dynamics · Physics 2016-05-20 B. T. Nadiga , T. J. O'Kane

Detecting recurrent weather patterns and understanding the transitions between such regimes are key to advancing our knowledge on the low-frequency variability of the atmosphere and have important implications in terms of weather and…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Sebastian Springer , Vera Melinda Galfi , Alessandro Laio , Valerio Lucarini

There is growing interest in anticipating critical transitions in natural systems, often pursued through statistical detection of early warning signals associated with dynamical bifurcations. In stochastic dynamical systems, such signals…

Dynamical Systems · Mathematics 2026-03-30 Florian Suerhoff , Andreas Morr , Sebastian Bathiany , Niklas Boers , Christian Kuehn

This study delves into the predictability of atmospheric blocking, zonal, and transition patterns utilizing a simplified coupled model. Initially, we comprehensively scrutinize the model's responses to environmental parameters like solar…

Atmospheric and Oceanic Physics · Physics 2023-10-09 Anupama K Xavier , Jonathan Demaeyer , Stéphane Vannitsem

Macroscopic features of dynamical systems such as almost-invariant sets and coherent sets provide crucial high-level information on how the dynamics organises phase space. We introduce a method to identify time-parameterised families of…

Dynamical Systems · Mathematics 2024-12-06 Aleksandar Badza , Gary Froyland

The low-frequency variability of the mid-latitude atmosphere involves complex nonlinear and chaotic dynamical processes posing predictability challenges. It is characterized by sporadically recurring, often long-lived patterns of…

Atmospheric and Oceanic Physics · Physics 2025-10-24 Dmitry Mukhin , Roman Samoilov , Abdel Hannachi

The transfer operator associated to a flow (continuous time dynamical system) is a one-parameter operator semigroup. We consider the operator-valued Laplace transform of this one-parameter semigroup. Estimates on the Laplace transform have…

Dynamical Systems · Mathematics 2019-02-20 Oliver Butterley

The susceptibility of millimeter-wave (mmWave) signals to physical blockage and abrupt signal strength variations presents a challenge to reliable 5G communication. This work proposes and examines the feasibility of utilizing…

Signal Processing · Electrical Eng. & Systems 2019-11-14 Ziad Ali , Alexandra Duel-Hallen , Hans Hallen

Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and…

Atmospheric and Oceanic Physics · Physics 2020-08-26 Amandine Kaiser , Davide Faranda , Sebastian Krumscheid , Danijel Belušić , Nikki Vercauteren

A variety of real world and experimental systems can display a drastic regime shift, as the evolution in one its paramaters crosses a threshold value. Assimilation of such a transition with a bifurcation has allowed to identify so called…

Adaptation and Self-Organizing Systems · Physics 2016-02-22 Anselmo García Cantú Ros , Till Fluschnik , Juergen Kropp

The realization that complex systems such as ecological communities can collapse or shift regimes suddenly and without rapid external forcing poses a serious challenge to our understanding and management of the natural world. The potential…

Populations and Evolution · Quantitative Biology 2013-05-30 Carl Boettiger , Noam Ross , Alan Hastings

Understanding the link between urban planning and commuting flows is crucial for guiding urban development and policymaking. This research, bridging computer science and urban studies, addresses the challenge of integrating these fields…

Machine Learning · Computer Science 2024-02-26 Yan Luo , Zhuoyue Wan , Yuzhong Chen , Gengchen Mai , Fu-lai Chung , Kent Larson

Key components of the Earth system can undergo abrupt and potentially irreversible transitions when the magnitude or rate of external forcing exceeds critical thresholds. In this study, we use the example of the Atlantic Meridional…

Computational Engineering, Finance, and Science · Computer Science 2025-09-09 Wenjie Zhang , Yu Huang , Sebastian Bathiany , Yechul Shin , Maya Ben-Yami , Suiping Zhou , Niklas Boers

Large-scale foundation models for scientific machine learning adapt to physical settings unseen during training, such as zero-shot transfer between turbulent scales. This phenomenon, in-context learning, challenges conventional…

Machine Learning · Computer Science 2026-04-14 Anthony Bao , Jeffrey Lai , William Gilpin

Sheared incompressible flows are usually considered non-dispersive media. As a consequence, the frequency evolution in transients has received much less attention than the wave energy density or growth factor. By carrying out a large number…

Fluid Dynamics · Physics 2012-11-16 Stefania Scarsoglio , Francesca De Santi , Daniela Tordella

The low frequency variability of the extratropical atmosphere involves hemispheric-scale recurring, often persistent, states known as teleconnection patterns or regimes, which can have profound impact on predictability on intra-seasonal and…

Atmospheric and Oceanic Physics · Physics 2024-01-31 Dmitry Mukhin , Abdel Hannachi , Tobias Braun , Norbert Marwan

Atmospheric blocking events are quasi-stationary high-pressure systems that disrupt the typical paths of polar and subtropical air currents, often producing prolonged extreme weather events such as summer heat waves or winter cold spells.…

Graphics · Computer Science 2026-01-05 Mingzhe Li , Peer Nowack , Bei Wang

Drawing upon the bursting mechanism in slow-fast systems, we propose indicators for the prediction of such rare extreme events which do not require a priori known slow and fast coordinates. The indicators are associated with functionals…

Dynamical Systems · Mathematics 2016-09-21 Mohammad Farazmand , Themistoklis Sapsis

Detecting early warning indicators for abrupt dynamical transitions in complex systems or high-dimensional observation data is essential in many real-world applications, such as brain diseases, natural disasters, and engineering…

Machine Learning · Statistics 2024-04-08 Lingyu Feng , Ting Gao , Wang Xiao , Jinqiao Duan

The use of critical slowing down as an early warning indicator for regime switching in observations from stochastic environments and noisy dynamical models has been widely studied and implemented in recent years. Some systems, however, have…

Dynamical Systems · Mathematics 2019-01-25 Mathew Titus , Zach Gelbaum , James Watson
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