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Variations in zonal surface temperature gradients and zonally asymmetric tropical overturning circulations (Walker circulations) are examined over a wide range of climates simulated with an idealized atmospheric general circulation model…

Atmospheric and Oceanic Physics · Physics 2015-05-19 Timothy M. Merlis , Tapio Schneider

We assess empirical models in climate econometrics using modern statistical learning techniques. Existing approaches are prone to outliers, ignore sample dependencies, and lack principled model selection. To address these issues, we…

Applications · Statistics 2025-05-26 Christof Schötz , Jan Hassel , Christian Otto

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

Neutral models, in which individual agents with equal fitness undergo a birth-death-mutation process, are very popular in population genetics and community ecology. Usually these models are applied to populations and communities with…

Populations and Evolution · Quantitative Biology 2016-06-10 Matan Danino , Yahav Shem-Tov , Nadav M. Shnerb

While many phenomena in physics and engineering are formally high-dimensional, their long-time dynamics often live on a lower-dimensional manifold. The present work introduces an autoencoder framework that combines implicit regularization…

Machine Learning · Computer Science 2023-12-07 Kevin Zeng , Carlos E. Pérez De Jesús , Andrew J. Fox , Michael D. Graham

While extensive guidance exists for ensuring the reproducibility of one's own study, there is little discussion regarding the reproduction and replication of external studies within one's own research. To initiate this discussion, drawing…

Machine Learning · Computer Science 2024-01-10 Milton S. Gomez , Tom Beucler

Deep learning-based tropical cyclone (TC) forecasting methods have demonstrated significant potential and application advantages, as they feature much lower computational cost and faster operation speed than numerical weather prediction…

Machine Learning · Computer Science 2026-04-03 Qixiang Li , Yuan Zhou , Shuwei Huo , Chong Wang , Xiaofeng Li

A trapping region is a compact set that is forward invariant with respect to the dynamics. Existence of a trapping region certifies boundedness of trajectories, and the size of the set provides an estimate of the ultimate bound. Prior work…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Diganta Bhattacharjee , Shih-Chi Liao , Peter J. Seiler , Maziar S. Hemati

In this paper we use the parameterization method to provide a complete description of the dynamics of an $n$-dimensional oscillator beyond the classical phase reduction. The parameterization method allows, via efficient algorithms, to…

Dynamical Systems · Mathematics 2021-01-22 Alberto Pérez-Cervera , Tere M. Seara , Gemma Huguet

We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another. We express tipping in terms of pullback…

Dynamical Systems · Mathematics 2018-04-24 Peter Ashwin , Clare Perryman , Sebastian Wieczorek

Inspired by the similarity of the atmosphere-ocean physical coupling mechanism, this study innovatively migrates meteorological large-model techniques to the ocean domain, constructing the KunPeng global ocean environmental prediction…

Machine Learning · Computer Science 2025-04-08 Yi Zhao , Jiaqi Li , Haitao Xia , Tianjiao Zhang , Zerong Zeng , Tianyu Ren , Yucheng Zhang , Chao Zhu , Shengtong Xu , Hongchun Yuan

Motivation: Models of discrete concurrent systems often lead to huge and complex state transition graphs that represent their dynamics. This makes difficult to analyse dynamical properties. In particular, for logical models of biological…

Discrete Mathematics · Computer Science 2014-11-14 Nuno D. Mendes , Pedro T. Monteiro , Jorge Carneiro , Elisabeth Remy , Claudine Chaouiya

Climate change is an impending disaster which is of pressing concern more and more every year. Countless efforts have been made to study the long-term effects of climate change on agriculture, land resources, and biodiversity. Studies…

Machine Learning · Computer Science 2021-01-12 Lynn Wahab , Ezzat Chebaro , Jad Ismail , Amir Nasrelddine , Ali El-Zein

Thermal conditions in the urban canopy exhibit stochastic variability driven by varied radiative fluxes and turbulent wind fields, requiring probabilistic rather than deterministic prediction methods. This study presents a probabilistic…

Applied Physics · Physics 2025-12-10 Shisheng Chen , Ruohan Xu , Nyuk Hien Wong , Shanshan Tong , Jiashuo Wang , Matthaios Santamouris

Climate simulations, at all grid resolutions, rely on approximations that encapsulate the forcing due to unresolved processes on resolved variables, known as parameterizations. Parameterizations often lead to inaccuracies in climate models,…

The communications and interrelations between different locations on the Earth's surface have far-reaching implications for both social and natural systems. Effective spatial analytics ideally require a spatial representation, where…

Physics and Society · Physics 2024-12-02 Hezhishi Jiang , Liyan Xu , Tianshu Li , Jintong Tang , Zekun Chen , Yuxuan Wang , Hongmou Zhang , Yu Liu

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

The quest for atmospheric spectral signatures that may witness biological activity in exoplanets is focused on rocky planets. The best targets for future, challenging spectroscopic observations will be selected among potentially habitable…

Earth and Planetary Astrophysics · Physics 2023-01-24 L. Silva , R. Bevilacqua , L. Biasiotti , E. Bisesi , S. L. Ivanovski , M. Maris , S. Monai , G. Murante , P. Simonetti , G. Vladilo

The limiting slow dynamics of slow-fast, piecewise-linear, continuous systems of ODEs occurs on critical manifolds that are piecewise-linear. At points of non-differentiability, such manifolds are not normally hyperbolic and so the…

Dynamical Systems · Mathematics 2018-01-16 David J. W. Simpson

The dynamics of a turbulent flow tend to occupy only a portion of the phase space at a statistically stationary regime. From a dynamical systems point of view, this portion is the attractor. The knowledge of the turbulent attractor is…

Fluid Dynamics · Physics 2022-12-05 Luca Magri , Anh Khoa Doan